A-level · Sequences & series

Arithmetic sequences and seriesExam-style questions

Sequences with a constant common difference — the nth-term rule and the sum formula, and where each comes from.

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34 questions · A-level level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 2 Level 3 Level 4 Level 5

1
Find the sum of the first $20$ terms of the arithmetic series $3 + 7 + 11 + \dots$
Level 3 · 2 marksTry it
2
An arithmetic series has first term $5$ and common difference $3$ . The sum of the first $n$ terms is $440$ . Find $n$ .
Level 3 · 4 marksTry it
3
The $3$ rd term of an arithmetic sequence is $13$ and the $8$ th term is $38$ .
(a) Find the first term and the common difference.
(b) Find the sum of the first $10$ terms.
Level 3 · 4 marksTry it
4
An arithmetic series has fourth term $17$ , and the sum of its first six terms is $87$ .

Find the first term and the common difference. (5 marks)
Level 3 · 5 marksTry it
5
An arithmetic series has first term $5$ and common difference $4$ . The sum of the first $n$ terms is $275$ .

Find $n$ . (5 marks)
Level 3 · 5 marksTry it

5 more questions on arithmetic sequences and series

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