PA.11B, SEC 3, finding nth term (50)
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Question 1 of 40
1. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
1, 8, 15, 22, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 2 of 40
2. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
3, 9, 15, 21, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 3 of 40
3. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
48, 41, 34, 27, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
If the sequence is descending the common difference d will be negative.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 4 of 40
4. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
10, 12, 14, 16, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 5 of 40
5. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
−12, −2, 8, 18, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 6 of 40
6. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
9, 1, −7, −15, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
If the sequence is descending the common difference d will be negative.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 7 of 40
7. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
−3, 1, 5, 9, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 8 of 40
8. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
2, 6, 10, 14, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 9 of 40
9. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
−10, −19, −28, −37, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
If the sequence is descending the common difference d will be negative.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 10 of 40
10. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
7, 13, 19, 25, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 11 of 40
11. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
−4, −2, 0, 2, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 12 of 40
12. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
60, 57, 54, 51, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
If the sequence is descending the common difference d will be negative.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 13 of 40
13. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
11, 21, 31, 41, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 14 of 40
14. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
12, 20, 28, 36, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 15 of 40
15. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
25, 16, 7, −2, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
If the sequence is descending the common difference d will be negative.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 16 of 40
16. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
2, 5, 8, 11, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 17 of 40
17. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
−5, 2, 9, 16, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 18 of 40
18. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
14, 18, 22, 26, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 19 of 40
19. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
−9, −3, 3, 9, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 20 of 40
20. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
−8, −4, 0, 4, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 21 of 40
21. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
6, 14, 22, 30, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 22 of 40
22. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
5, 11, 17, 23, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 23 of 40
23. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
−2, 1, 4, 7, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 24 of 40
24. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
−3, 2, 7, 12, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 25 of 40
25. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
15, 18, 21, 24, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 26 of 40
26. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
8, 16, 24, 32, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 27 of 40
27. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
−20, −10, 0, 10, …
Find a formula for the nth term of the sequence.
=
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 28 of 40
28. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
−7, −1, 5, 11, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 29 of 40
29. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
20, 15, 10, 5, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
If the sequence is descending the common difference d will be negative.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
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Question 30 of 40
30. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
4, 7, 10, 13, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
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Question 31 of 40
31. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
12, 8, 4, 0, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
If the sequence is descending the common difference d will be negative.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
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-
Question 32 of 40
32. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
3, 7, 11, 15, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
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-
Question 33 of 40
33. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
−10, −5, 0, 5, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
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-
Question 34 of 40
34. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
−3, −6, −9, −12, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
If the sequence is descending the common difference d will be negative.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 35 of 40
35. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
4, 9, 14, 19, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrect -
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Question 36 of 40
36. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
11, 17, 23, 29, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
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-
Question 37 of 40
37. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
50, 40, 30, 20, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
If the sequence is descending the common difference d will be negative.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 38 of 40
38. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
6, 12, 18, 24, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
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-
Question 39 of 40
39. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
−1, 8, 17, 26, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-
-
Question 40 of 40
40. Question
Topic: Finding nth term.
Please have pen and paper handy to show workings out. 📝
Here is the start of an arithmetic sequence:
7, 3, −1, −5, …
Find a formula for the nth term of the sequence.
-
an =
⌨️ Enter your answer in the field provided with no spaces.
CorrectIncorrectHint
This formula lets you find any term in an arithmetic sequence quickly.
The jumps in the sequence is the common difference d.
If the sequence is descending the common difference d will be negative.
The first term is a1.
Here is the nth-term formula.
an = d(n − 1) + a1.
an is the nth term.
d is the common difference.
n is the position.
a1 is the first term.
If the jumps between terms are not equal every time, d is not constant. Then this formula does not apply because it works only for arithmetic sequences.
If you have not memorised it yet. It is definitely worth memorising.🧠
Plug in your values, expand the brackets and simplify.
-