plumiInduction: divisibility: Edexcel A‑Level Further Maths questions
Edexcel A-Level Further Maths past-paper questions on 1.2 Induction: divisibility, 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 5 questions on Induction: divisibility, as a list
- June 2024, AS Core Pure, Q7 (10 marks): (i) Prove by induction that, for all positive integers n, 1 1 1 1 r r n n r n (5) (ii) Prove by induction that, for all positive integers n, f ( n ) = 3 2n +
- November 2020, Core Pure 1, Q6 (12 marks): (i) Prove by induction that for n ∈ + ( )( ) ( )( ) 3 1 2 2 3 1 r r n n n r n + + = + + =∑ (6) (ii) Prove by induction that for all positive odd integers n f(n
- November 2020, AS Core Pure, Q8 (6 marks): Prove by induction that, for n ∈ + f(n) = 2n + 2 + 32n + 1 is divisible by 7 (6)
- June 2019, Core Pure 1, Q6 (6 marks): 3URYHE\LQGXFWLRQWKDWIRUDOOSRVLWLYHLQWHJHUVn I n 2n + 4í2n LVGLYLVLEOHE\ (6)
- June 2018, AS Core Pure, Q8 (12 marks): (i) Prove by induction that for n + 5 8 2 3 4 1 8 2 1 4 − − = + − − n n n n n (6) (ii) Prove by induction that for n + f (n) = 4n + 1 +
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