PA.11C, SEC 3, fndng tms in sqr seq(50)

Question 1 of 50

1. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$f_{n} = 8 n^{2} - 5$

Is
$f_{n}$ = 123 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 2 of 50

2. Question
Topic: Finding terms in Sequences

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

Here is a quadratic sequence given by:

$w_{n} = 6 n^{2} - 1$

Is $w_{n}$ = 150 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 3 of 50

3. Question
Topic: Finding terms in Sequences

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

Here is a quadratic sequence:

$m_{n} = 12 n^{2} - 2$

Is $m_{n} = 1400$ a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 4 of 50

4. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$g_{n} = 9 n^{2} + 4$

Is
$g_{n}$ = 445 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 5 of 50

5. Question
Topic: Finding terms in Sequences

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

Here is a quadratic sequence given by:

$x_{n} = n^{2} + 2$

Is $x_{n}$ = 90 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 6 of 50

6. Question
Topic: Finding terms in Sequences

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

Here is a quadratic sequence:

$n_{n} = 13 n^{2} + 4$

Is $n_{n} = 1700$ a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 7 of 50

7. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$s_{n} = n^{2}$

Is $s_{n}$ = 64 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 8 of 50

8. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$h_{n} = 10 n^{2} - 9$

Is
$h_{n}$ = 351 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 9 of 50

9. Question
Topic: Finding terms in Sequences

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

Here is a quadratic sequence given by:

$y_{n} = 3 n^{2} - 5$

Is $y_{n}$ = 100 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 10 of 50

10. Question
Topic: Finding terms in Sequences

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

Here is a quadratic sequence:

$p_{n} = 14 n^{2} + 1$

Is $p_{n} = 1900$ a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 11 of 50

11. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$s_{n} = n^{2}$

Is $s_{n}$ = 225 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 12 of 50

12. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$i_{n} = 2 n^{2} + 7$

Is
$i_{n}$ = 135 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 13 of 50

13. Question
Topic: Finding terms in Sequences

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

Here is a quadratic sequence given by:

$z_{n} = 7 n^{2} + 6$

Is $z_{n}$ = 260 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 14 of 50

14. Question
Topic: Finding terms in Sequences

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

Here is a quadratic sequence:

$q_{n} = 15 n^{2} - 7$

Is $q_{n} = 2200$ a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 15 of 50

15. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$t_{n} = 3 n^{2} + 1$

Is $t_{n}$ = 109 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 16 of 50

16. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$j_{n} = 5 n^{2} - 4$

Is
$j_{n}$ = 401 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 17 of 50

17. Question
Topic: Finding terms in Sequences

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

Here is a quadratic sequence given by:

$a_{n} = 8 n^{2} + 3$

Is $a_{n}$ = 500 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 18 of 50

18. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$u_{n} = 4 n^{2} - 7$

Is $u_{n}$ = 93 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint
Question 19 of 50

19. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$k_{n} = 6 n^{2} + 9$

Is
$k_{n}$ = 159 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 20 of 50

20. Question
Topic: Finding terms in Sequences

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

Here is a quadratic sequence:

$b_{n} = n^{2} + 5$

Is $b_{n} = 120$ a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 21 of 50

21. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$v_{n} = 2 n^{2} + 5$

Is $v_{n}$ = 133 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 22 of 50

22. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$l_{n} = n^{2} + 15$

Is
$l_{n}$ = 184 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 23 of 50

23. Question
Topic: Finding terms in Sequences

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

Here is a quadratic sequence:

$c_{n} = 2 n^{2} + 3$

Is $c_{n} = 155$ a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 24 of 50

24. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$w_{n} = 5 n^{2} - 4$

Is $w_{n}$ = 241 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 25 of 50

25. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$m_{n} = 7 n^{2} - 3$

Is
$m_{n}$ = 109 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 26 of 50

26. Question
Topic: Finding terms in Sequences

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

Here is a quadratic sequence:

$d_{n} = 3 n^{2} - 4$

Is $d_{n} = 200$ a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 27 of 50

27. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$x_{n} = n^{2} + 9$

Is $x_{n}$ = 153 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 28 of 50

28. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$n_{n} = 9 n^{2} + 12$

Is
$n_{n}$ = 156 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 29 of 50

29. Question
Topic: Finding terms in Sequences

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

Here is a quadratic sequence:

$e_{n} = 4 n^{2} + 2$

Is $e_{n} = 259$ a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 30 of 50

30. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$y_{n} = 2 n^{2} - 1$

Is
$y_{n}$ = 161 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 31 of 50

31. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$o_{n} = 4 n^{2} + 11$

Is
$o_{n}$ = 155 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 32 of 50

32. Question
Topic: Finding terms in Sequences

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

Here is a quadratic sequence:

$f_{n} = 5 n^{2} + 1$

Is $f_{n} = 506$ a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 33 of 50

33. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$z_{n} = 6 n^{2} + 2$

Is
$z_{n}$ = 152 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 34 of 50

34. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$p_{n} = 8 n^{2} + 5$

Is
$p_{n}$ = 397 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 35 of 50

35. Question
Topic: Finding terms in Sequences

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

Here is a quadratic sequence:

$g_{n} = 6 n^{2} - 3$

Is $g_{n} = 407$ a term of the sequence?

Show all your working out 🖊️
- YES
- NOW
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 36 of 50

36. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$a_{n} = 4 n^{2} + 3$

Is
$a_{n}$ = 487 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 37 of 50

37. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$q_{n} = 3 n^{2} + 2$

Is
$q_{n}$ = 200 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 38 of 50

38. Question
Topic: Finding terms in Sequences

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

Here is a quadratic sequence:

$h_{n} = 7 n^{2} + 2$

Is $h_{n} = 600$ a term of the sequence?

Show all your working out 🖊️
- YES
- NOW
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 39 of 50

39. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$b_{n} = 3 n^{2} - 2$

Is
$b_{n}$ = 190 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 40 of 50

40. Question
Topic: Finding terms in Sequences

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

Here is a quadratic sequence given by:

$s_{n} = n^{2}$

Is $s_{n}$ = 50 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 41 of 50

41. Question
Topic: Finding terms in Sequences

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

Here is a quadratic sequence:

$i_{n} = 8 n^{2} + 4$

Is $i_{n} = 820$ a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 42 of 50

42. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$c_{n} = 7 n^{2} + 1$

Is
$c_{n}$ = 253 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 43 of 50

43. Question
Topic: Finding terms in Sequences

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

Here is a quadratic sequence given by:

$t_{n} = 4 n^{2} + 1$

Is $t_{n}$ = 70 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 44 of 50

44. Question
Topic: Finding terms in Sequences

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

Here is a quadratic sequence:

$j_{n} = 9 n^{2} - 5$

Is $j_{n} = 1000$ a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 45 of 50

45. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$d_{n} = 5 n^{2} + 6$

Is
$d_{n}$ = 411 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 46 of 50

46. Question
Topic: Finding terms in Sequences

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

Here is a quadratic sequence given by:

$u_{n} = 2 n^{2} - 3$

Is $u_{n}$ = 45 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 47 of 50

47. Question
Topic: Finding terms in Sequences

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

Here is a quadratic sequence:

$k_{n} = 10 n^{2} + 3$

Is $k_{n} = 1005$ a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 48 of 50

48. Question
Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

$e_{n} = n^{2} + 12$

Is
$e_{n}$ = 181 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 49 of 50

49. Question
Topic: Finding terms in Sequences

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

Here is a quadratic sequence given by:

$v_{n} = 5 n^{2} + 4$

Is $v_{n}$ = 200 a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.
Question 50 of 50

50. Question
Topic: Finding terms in Sequences

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

Here is a quadratic sequence:

$l_{n} = 11 n^{2} + 6$

Is $l_{n} = 1220$ a term of the sequence?

Show all your working out 🖊️
- YES
- NO
Correct

Incorrect

Hint

Use this formula to jump straight to any term in an arithmetic sequence. 😊

a_n = d(n – 1) + a₁

a_n is the nth term.

d is the common difference.

n is the position number.

a₁ is the first term.

To check if a value is in the sequence substitute it for a_n in the formula.

Solve the resulting equation for n.

If n is a whole positive number the value is in the sequence.

If n is a decimal the value is not in the sequence.

n can never be negative because term positions start at one and increase in ones.

PA.11C, SEC 3, fndng tms in sqr seq(50)

PA.11C, SEC 3, fndng tms in sqr seq(50)

Quiz Summary

Information

Results

Results

Categories

1. Question

Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

fn=8n2–5

Is fn = 123 a term of the sequence?

Show all your working out 🖊️

Hint

2. Question

Topic: Finding terms in Sequences

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

Here is a quadratic sequence given by:

wn=6n2–1

Is wn = 150 a term of the sequence?

Show all your working out 🖊️

Hint

3. Question

Topic: Finding terms in Sequences

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

Here is a quadratic sequence:

mn=12n2−2

Is mn=1400 a term of the sequence?

Show all your working out 🖊️

Hint

4. Question

Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

gn=9n2+4

Is gn = 445 a term of the sequence?

Show all your working out 🖊️

Hint

5. Question

Topic: Finding terms in Sequences

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

Here is a quadratic sequence given by:

xn=n2+2

Is xn = 90 a term of the sequence?

Show all your working out 🖊️

Hint

6. Question

Topic: Finding terms in Sequences

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

Here is a quadratic sequence:

nn=13n2+4

Is nn=1700 a term of the sequence?

Show all your working out 🖊️

Hint

7. Question

Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

sn=n2

Is sn = 64 a term of the sequence?

Show all your working out 🖊️

Hint

8. Question

Topic: Finding terms in Sequences

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

The sequence is defined by the formula:

hn=10n2–9

Is hn = 351 a term of the sequence?

Show all your working out 🖊️

Hint

9. Question

Topic: Finding terms in Sequences

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

Here is a quadratic sequence given by:

yn=3n2–5

Is yn = 100 a term of the sequence?

Show all your working out 🖊️

Hint

10. Question

$f_{n} = 8 n^{2} - 5$

Is
$f_{n}$ = 123 a term of the sequence?

$w_{n} = 6 n^{2} - 1$

Is $w_{n}$ = 150 a term of the sequence?

$m_{n} = 12 n^{2} - 2$

Is $m_{n} = 1400$ a term of the sequence?

$g_{n} = 9 n^{2} + 4$

Is
$g_{n}$ = 445 a term of the sequence?

$x_{n} = n^{2} + 2$

Is $x_{n}$ = 90 a term of the sequence?

$n_{n} = 13 n^{2} + 4$

Is $n_{n} = 1700$ a term of the sequence?

$s_{n} = n^{2}$

Is $s_{n}$ = 64 a term of the sequence?

$h_{n} = 10 n^{2} - 9$

Is
$h_{n}$ = 351 a term of the sequence?

$y_{n} = 3 n^{2} - 5$

Is $y_{n}$ = 100 a term of the sequence?

$p_{n} = 14 n^{2} + 1$

Is $p_{n} = 1900$ a term of the sequence?

$s_{n} = n^{2}$

Is $s_{n}$ = 225 a term of the sequence?

$i_{n} = 2 n^{2} + 7$

Is
$i_{n}$ = 135 a term of the sequence?

$z_{n} = 7 n^{2} + 6$

Is $z_{n}$ = 260 a term of the sequence?

$q_{n} = 15 n^{2} - 7$

Is $q_{n} = 2200$ a term of the sequence?

$t_{n} = 3 n^{2} + 1$

Is $t_{n}$ = 109 a term of the sequence?

$j_{n} = 5 n^{2} - 4$

Is
$j_{n}$ = 401 a term of the sequence?

$a_{n} = 8 n^{2} + 3$

Is $a_{n}$ = 500 a term of the sequence?

$u_{n} = 4 n^{2} - 7$

Is $u_{n}$ = 93 a term of the sequence?