PA.11A, SEC 2, generate seq (50)

Question 1 of 50

1. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 4 n + 6$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 2 of 50

2. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 9 n - 2$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 3 of 50

3. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -3 n - 1$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 4 of 50

4. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 6 n + 2$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 5 of 50

5. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -3 n - 4$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 6 of 50

6. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -4 n + 5$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 7 of 50

7. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 8 n - 3$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 8 of 50

8. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -4 n + 2$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 9 of 50

9. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -5 n - 2$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 10 of 50

10. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 2 n + 7$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 11 of 50

11. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -5 n - 4$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 12 of 50

12. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -6 n + 4$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 13 of 50

13. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 10 n - 4$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 14 of 50

14. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -6 n + 12$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 15 of 50

15. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -7 n - 3$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 16 of 50

16. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 11 n + 3$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 17 of 50

17. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -7 n - 2$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 18 of 50

18. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -8 n + 6$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 19 of 50

19. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 4 n + 5$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 20 of 50

20. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -8 n + 1$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 21 of 50

21. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -9 n - 4$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 22 of 50

22. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 2 n + 1$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 23 of 50

23. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 7 n + 1$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 24 of 50

24. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -9 n - 5$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 25 of 50

25. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -2 n + 8$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 26 of 50

26. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 5 n - 3$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 27 of 50

27. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 5 n - 4$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 28 of 50

28. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -10 n + 20$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 29 of 50

29. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -6 n - 5$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 30 of 50

30. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 4 n - 2$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 31 of 50

31. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 6 n + 3$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 32 of 50

32. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -11 n - 3$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 33 of 50

33. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 3 n + 4$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 34 of 50

34. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 8 n - 7$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 35 of 50

35. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -12 n + 4$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 36 of 50

36. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 6 n - 5$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 37 of 50

37. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 3 n + 6$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 38 of 50

38. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -13 n - 6$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 39 of 50

39. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 5 n + 1$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 40 of 50

40. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 10 n - 1$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 41 of 50

41. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -14 n + 9$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 42 of 50

42. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 7 n - 1$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 43 of 50

43. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 12 n - 6$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 44 of 50

44. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -15 n - 10$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 45 of 50

45. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 3 n - 2$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 46 of 50

46. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 2 n + 9$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 47 of 50

47. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -16 n$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 48 of 50

48. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = 9 n + 1$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 49 of 50

49. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -5 n + 7$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.
Question 50 of 50

50. Question
Topic: Generating sequences.

Please have pen and paper handy to show workings out. 📝

Here is the nth term of a sequence:

$a_{n} = -2 n + 7$

Type the first three terms of the sequence.
- , ,
  
  ⌨️ Enter your answer to the nearest whole in the field provided.
Correct

Incorrect

Hint

An nth-term rule gives every number in the list.

n always starts at 1 and goes 2, 3, 4, … one step at a time.

The number before n is the jump each time.

That jump is called the common difference (steady amount added or taken).

Example: a_n = 3n + 2.

The coefficient 3 is the common difference.

Put n = 1 → 3(1) + 2 = 5.

Put n = 2 → 3(2) + 2 = 8.

So the list starts 5, 8, … just keep swapping in bigger n’s.

Common difference is the equal amount you add each time in the sequence.

Here it is 3.

Still stuck? type LN.11 to review further.

PA.11A, SEC 2, generate seq (50)

PA.11A, SEC 2, generate seq (50)

Quiz Summary

Information

Results

Results

Categories

1. Question

Topic: Generating sequences.

Here is the nth term of a sequence:

an=4n+6

Type the first three terms of the sequence.

, ,

⌨️ Enter your answer to the nearest whole in the field provided.

Hint

2. Question

Topic: Generating sequences.

Here is the nth term of a sequence:

an=9n–2

Type the first three terms of the sequence.

, ,

⌨️ Enter your answer to the nearest whole in the field provided.

Hint

3. Question

Topic: Generating sequences.

Here is the nth term of a sequence:

an=-3n–1

Type the first three terms of the sequence.

, ,

⌨️ Enter your answer to the nearest whole in the field provided.

Hint

4. Question

Topic: Generating sequences.

Here is the nth term of a sequence:

an=6n+2

Type the first three terms of the sequence.

, ,

⌨️ Enter your answer to the nearest whole in the field provided.

Hint

5. Question

Topic: Generating sequences.

Here is the nth term of a sequence:

an=-3n–4

Type the first three terms of the sequence.

, ,

⌨️ Enter your answer to the nearest whole in the field provided.

Hint

6. Question

Topic: Generating sequences.

Here is the nth term of a sequence:

an=-4n+5

Type the first three terms of the sequence.

, ,

⌨️ Enter your answer to the nearest whole in the field provided.

Hint

7. Question

Topic: Generating sequences.

Here is the nth term of a sequence:

an=8n–3

Type the first three terms of the sequence.

, ,

⌨️ Enter your answer to the nearest whole in the field provided.

Hint

8. Question

Topic: Generating sequences.

Here is the nth term of a sequence:

an=-4n+2

Type the first three terms of the sequence.

, ,

⌨️ Enter your answer to the nearest whole in the field provided.

Hint

9. Question

Topic: Generating sequences.

Here is the nth term of a sequence:

an=-5n–2

Type the first three terms of the sequence.

, ,

⌨️ Enter your answer to the nearest whole in the field provided.

Hint

10. Question

$a_{n} = 4 n + 6$

`, ,`

$a_{n} = 9 n - 2$

`, ,`

$a_{n} = -3 n - 1$

`, ,`

$a_{n} = 6 n + 2$

`, ,`

$a_{n} = -3 n - 4$

`, ,`

$a_{n} = -4 n + 5$

`, ,`

$a_{n} = 8 n - 3$

`, ,`

$a_{n} = -4 n + 2$

`, ,`

$a_{n} = -5 n - 2$

`, ,`

$a_{n} = 2 n + 7$

`, ,`

$a_{n} = -5 n - 4$

`, ,`

$a_{n} = -6 n + 4$

`, ,`

$a_{n} = 10 n - 4$

`, ,`

$a_{n} = -6 n + 12$

`, ,`

$a_{n} = -7 n - 3$

`, ,`

$a_{n} = 11 n + 3$

`, ,`

$a_{n} = -7 n - 2$

`, ,`

$a_{n} = -8 n + 6$

`, ,`