plumiInduction: sums of series: OCR MEI A‑Level Further Maths questions
OCR MEI A-Level Further Maths past-paper questions on 1.1 Induction: sums of series, 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: sums of series, as a list
- June 2022, AS Core Pure, Q6 (10 marks): n =/ 1 6 (a) Using standard summation formulae, show that r r ( 2 ) n n ( 1 2 )( n 7 ). [4] + = + + 6 r 1 (b) Use induction to prove the result in part (a). [6]
- November 2021, Core Pure, Q7 (6 marks): n r/ r n 2 + 7 Prove that 4 for all n H . 1 [6] = - r 1 n 1 2 - 2 - 1 =
- November 2021, AS Core Pure, Q5 (5 marks): n r/ r n 1 5 Prove by induction that r 2 - 1 ( n 1 2 ) for all positive integers n. [5] = + - # 1 =
- November 2020, Core Pure, Q7 (6 marks): n =/ 7 Prove by mathematical induction that ( r r )! ( n 1 )! 1 for all positive integers n. [6] = + - # r 1 J N J N J N J N 0 1 1 2 - -
- June 2019, AS Core Pure, Q5 (6 marks): J N n 1 1 1 1 / KK OO 5 Prove by induction that, for all positive integers n, . [6] = - r 2 n 3 3 r 1 L P =
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