plumiInduction: divisibility: AQA A‑Level Further Maths questions
AQA A-Level Further Maths past-paper questions on A.2 Induction: divisibility, 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: divisibility, as a list
- June 2024, AS Paper 1, Q12 (4 marks): Prove by induction that, for all n ∈ ℕ, the expression 5n – 2n is divisible by 3 [4 marks] ���������������������������������������������������������������������
- June 2023, Paper 2, Q12 (6 marks): The function f is defined by f (n) = 33n+1 + 23n+4 (n 2 Z+) Prove by induction that f (n) is divisible by 19 for n × 1 [6 marks]
- November 2020, AS Paper 1, Q7 (4 marks): Prove by induction that, for all integers n × 1 , the expression 7n − 3n is divisible by 4 [4 marks]
- June 2019, Paper 2, Q10 (7 marks): Prove by induction that f (n) = n3 + 3n2 + 8n is divisible by 6 for all integers n × 1 [7 marks]
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