plumiInduction: sums of series: AQA A‑Level Further Maths questions
AQA A-Level Further Maths past-paper questions on A.1 Induction: sums of series, 2019–2025, 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 4 questions on Induction: sums of series, as a list
- June 2025, Paper 1, Q10 (4 marks): Astrid is solving this mathematics problem: The series n S is defined by ℤ, ( ... = + + + + ∈ 2 4 6 2 n S n n ) ≥1 n Prove by induction that ( ) = +1 n S n n As
- June 2023, AS Paper 1, Q13 (10 marks): (a) Prove by induction that, for all integers n ≥ 1, n r =1 r2 = 1 6 n(n + 1)(2n + 1) [4 marks] 13 (c) Use the formula in part (a) to write down a factorised
- June 2022, Paper 2, Q5 (4 marks): Prove by induction that, for all integers n × 1, X n r=1 r3 = 1 2 n(n + 1) 2 [4 marks]
- November 2021, AS Paper 1, Q13 (4 marks): Prove by induction that, for all integers n × 1 X n r=1 2−r = 1 − 2−n [4 marks]
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