plumiSeries: standard sums: OCR MEI A‑Level Further Maths questions
OCR MEI A-Level Further Maths past-paper questions on 4.2 Series: standard sums, 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 8 questions on Series: standard sums, as a list
- June 2025, Core Pure, Q3 (5 marks): Using standard summation formulae, show that, for integers n H , 1 1 1 3 2 4 ... n ( n 2 ) n n ( 1 )( an b ), # + # + + # + = + + 6 where a and b are integers t
- June 2024, AS Core Pure, Q3 (6 marks): n =/ 3 3 (a) Using standard summation formulae, write down an expression in terms of n for r . [1] r 1 2 n = +/ 3 1 2 (b) Hence show that r n ( an b cn )( d ) ,
- June 2023, AS Core Pure, Q4 (6 marks): n =/ 2 4 You are given that ( ar b ) n for all n, where a and b are constants. + = r 1 n =/ By finding ( ar b ) in terms of a, b and n, determine the values of
- June 2022, Core Pure, Q1 (7 marks): n =/ 1 3 3 2 1 (a) By considering ( r ) r , find ( 3 r 3 r 1 ). [3] + - + + r 1 n =/ (b) Use this result to find r r ( 1 ), expressing your answer in fully fact
- 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, AS Core Pure, Q1 (3 marks): n ^ h / 2 - 1 Using standard summation formulae, find r 3 r , giving your answer in fully factorised form. [3] r 1 =
- November 2020, Core Pure, Q1 (6 marks): Using standard summation of series formulae, determine the sum of the first n terms of the series ( 1 2 4 ) ( 2 3 5 ) ( 3 4 6 ) + …, + + # # # # # # where n is
- June 2019, Core Pure, Q1 (4 marks): ^ h n / 2 1 Find 2 r 1 , expressing your answer in fully factorised form. [4] - r 1 =
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