plumiMethod of differences: OCR A‑Level Further Maths questions
OCR A-Level Further Maths past-paper questions on 4.3 Method of differences, 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 7 questions on Method of differences, as a list
- June 2025, Pure Core 1, Q6 (8 marks): In this question you must show detailed reasoning. J N J N J N 1 1 1 1 1 1 KK OO KK OO KK OO for n The series Sn is given by S +. = + + + Z ! # # g # n n n 5 15
- June 2024, Pure Core 2, Q1 (5 marks): J N n / 1 1 1 KK OO 1 (a) Use the method of differences to show that 1 . [1] - + = - n 1 r r 1 + L P r 1 = (b) Hence determine the following sums. 99 / 1 1 (i)
- June 2023, Pure Core 2, Q7 (8 marks): In this question you must show detailed reasoning. (a) Show that n n / / r a 5 6 1 + b c = + + n 3 2 1 2 r r + r + r 1 r 1 = = [6] where a, b and c are integers
- June 2022, Pure Core 2, Q8 (7 marks): In this question you must show detailed reasoning. 98 5 r 2 20539 =/ + It is given that for some k. = r r ( 1 )( r 2 ) 34650 + + r k Determine the value of k. [
- November 2021, Pure Core 1, Q10 (8 marks): n =/ 1 10 Using an algebraic method, determine the least value of n for which 0 49 . . [8] H r r ( 2 1 2 )( 1 ) - + r 1
- November 2020, Pure Core 2, Q3 (6 marks): In this question you must show detailed reasoning. n =/ 3 37 1 1 1 (a) Use partial fractions to show that . [5] = - - - n 60 n 1 n 2 2 r r + + 2 + - r 5 n / f 3
- June 2019, Pure Core 2, Q1 (7 marks): In this question you must show detailed reasoning. n 1 1 1 =/ (a) By using partial fractions show that . [5] = - 2 n 2 2 r r + 3 2 + + r 1 1 3 =/ (b) Hence dete
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