plumiArithmetic sequences and series: OCR A‑Level Maths questions
OCR A-Level Maths past-paper questions on 1.04.5 Arithmetic sequences and series, 2018–2025, with mark schemes and examiner’s reports where available. Add MadAsMaths questions to your practice, or browse them separately by topic and difficulty.
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All 7 questions on Arithmetic sequences and series, as a list
- June 2025, Paper 2, Q7 (5 marks): An arithmetic progression has first term a and common difference d, where a and d are non-zero. The first, third and fourth terms of the arithmetic progression
- June 2024, Paper 2, Q7 (8 marks): Two arithmetic progressions, A and B, each have 100 terms denoted by ai and bi respectively, where i = 1, 2, 3, . . . 100. The common difference of A is d, wher
- June 2023, Paper 3, Q6 (6 marks): The first, third and fourth terms of an arithmetic progression are u1, u3 and u4 respectively, where 7 u 2 sin , u 3 cos , u sin , = i =- i = i 1 3 4 2 1 and 2
- June 2022, Paper 3, Q4 (8 marks): The positive integers x, y and z are the first, second and third terms, respectively, of an arithmetic progression with common difference -4. 15 and z are the f
- November 2021, Paper 2, Q3 (6 marks): The 15th term of an arithmetic sequence is 88. The sum of the first 10 terms is 310. Determine the first term and the common difference. [6]
- November 2021, Paper 3, Q3 (5 marks): An arithmetic progression has first term 2 and common difference d, where d 0 . The first, third ! and thirteenth terms of this progression are also the first,
- June 2019, Paper 1, Q4 (7 marks): Sam starts a job with an annual salary of £16 000. It is promised that the salary will go up by the same amount every year. In the second year Sam is paid £17 2
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