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Sequences and recurrence relations: OCR MEI A‑Level Maths questions

OCR MEI A-Level Maths past-paper questions on 4.3 Sequences and recurrence relations, 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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  1. Q11

    June 2025 · Paper 3

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  3. Q3

    June 2022 · Paper 3

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All 4 questions on Sequences and recurrence relations, as a list
  1. June 2025, Paper 3, Q11 (5 marks): 1 11 The nth term of a sequence is defined by a + , for n H . 1 n = - n 1 1 n 1 1 + - + (a) Prove that every term in the sequence, an, is a rational number. [3]
  2. June 2024, Paper 2, Q7 (6 marks): A sequence is defined by the recurrence relation u u 5 with u – 2 . = + = k 1 k 1 + (a) Write down the values of u2, u3, and u4. [1] (b) Explain whether this se
  3. June 2022, Paper 3, Q3 (4 marks): n 3 An infinite sequence a , a , a 3 f is defined by a , + , for all positive integers n. n = n 1 1 2 (a) Find the limit of the sequence. [1] (b) Prove that thi
  4. November 2021, Paper 1, Q4 (6 marks): (a) The first four terms of a sequence are 2, 3, 0, 3 and the subsequent terms are given by a a . 4 = k k + (i) State what type of sequence this is. [1] 200/ (i

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