plumiSequences and recurrence relations: Edexcel A‑Level Maths questions
Edexcel A-Level Maths past-paper questions on 4.3 Sequences and recurrence relations, 2010–2025, 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 6 questions on Sequences and recurrence relations, as a list
- June 2024, Pure 2, Q4 (5 marks): A sequence u1, u2, u3, ... is defined by u ku u n n 1 1 5 6 where k is a positive constant. Given that u3 = –1 (a) show that 6 5 4 0 2 k k (2) (b) Hence (i) fin
- June 2023, Pure 2, Q2 (6 marks): A sequence u1, u2, u3 ... is defined by u1 = 35 1 = 7cos 5( 1) 2 n n n nπ u u + + − − (a) (i) Show that u2 = 40 (ii) Find the value of u3 and the va
- June 2022, Pure 2, Q3 (4 marks): A sequence of terms a1, a2, a3, … is defined by a1 = 3 an+1 = 8 − an (a) (i) Show that this sequence is periodic. (ii) State the order of this periodic sequence
- November 2021, Pure 1, Q3 (6 marks): The sequence u1, u2, u3, … is defined by un + 1 = k − 24 un u1 = 2 where k is an integer. Given that u1 + 2u2 + u3 = 0 (a) show that 3k 2 − 58k + 240 = 0 (3) (b
- November 2020, Pure 1, Q13 (7 marks): A sequence of numbers a1, a2, a3, … is defined by an+1 = k a a n n + ( ) 2 n where k is a constant. Given that ● the sequence is a periodic sequence of orde
- June 2018, Pure 2, Q4 (7 marks): (i) Show that 3 5 2 131798 1 16 + + ( ) = =∑ r r r (4) (ii) A sequence u1, u2, u3, … is defined by u u u n n + = = 1 1 1 2 3 , Find the exact value of ur r=∑ 1
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