plumiSequences and recurrence relations: AQA A‑Level Maths questions
AQA A-Level Maths past-paper questions on D.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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All 8 questions on Sequences and recurrence relations, as a list
- June 2025, Paper 1, Q2 (1 mark): A sequence is defined by xn+1 = – 1 4 xn with x1 = 32 The first four terms of the sequence are 32, –8, 2, –0.5 Which one of the following can be used to describ
- June 2024, Paper 1, Q12 (5 marks): The terms, un, of a periodic sequence are defined by u1 = 3 and un+1 = –6 un 12 (a) Find u2, u3 and u4 [2 marks] 12 (b) State the period of the sequence. [1 mar
- June 2023, Paper 1, Q11 (9 marks): The nth term of a sequence is un The sequence is defined by un+1 = pun + 70 where u1 = 400 and p is a constant. 11 (a) Find an expression, in terms of p, for u2
- June 2022, Paper 1, Q2 (1 mark): A periodic sequence is defined by Un = (×1)n State the period of the sequence. Circle your answer. [1 mark] ×1 0 1 2
- November 2021, Paper 2, Q3 (1 mark): A sequence is defined by u1 = a and un+1 = −1 × un Find P 95 n=1 un Circle your answer. [1 mark] −a 0 a 95a for the next question
- November 2020, Paper 1, Q7 (4 marks): Consecutive terms of a sequence are related by un+1 = 3 × (un)2 7 (a) In the case that u1 = 2 7 (a) (i) Find u3 [2 marks] 7 (a) (ii) Find u50 [1 mark] 7 (b) Sta
- June 2019, Paper 3, Q3 (1 mark): Given u1 = 1 , determine which one of the formulae below defines an increasing sequence for n ≤ 1 Circle your answer. [1 mark] un+1 = 1 + 1 un un = 2 − 0:9n−1 u
- June 2018, Paper 1, Q3 (1 mark): A periodic sequence is defined by Un = sin np 2 State the period of this sequence. Circle your answer. [1 mark] 8 2p 4 p
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