plumiMethod of differences: OCR MEI A‑Level Further Maths questions
OCR MEI 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 8 questions on Method of differences, as a list
- June 2025, AS Core Pure, Q6 (7 marks): 1 6 (a) Express ( as a single simplified fraction. [2] - 2 2 r 1 ) ( r 1 ) - + n r =/ (b) Hence determine the limit which converges to as n " 3. [5] 2 2 ( r 1 )
- June 2024, Core Pure, Q1 (4 marks): r/ 1 1 1 1 By expressing r - + as a single fraction, find in terms of n. [4] 1 ( r 1 )( r 2 ) 1 r 2 + + + =
- June 2023, Core Pure, Q3 (6 marks): (a) Using partial fractions and the method of differences, show that 1 1 1 1 3 an b + … , + + + + = - 1 3 2 4 3 5 n n ( 2 ) 4 2 ( n 1 )( n 2 ) + + + # # # where
- 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
- November 2021, Core Pure, Q1 (7 marks): 1 (a) Express ( in partial fractions. [3] 2 r 1 2 )( r 1 ) - + n r/ 1 (b) Hence find , expressing the result as a single fraction. [4] = ( 2 r 1 2 )( r 1 ) - +
- November 2020, AS Core Pure, Q1 (3 marks): In this question you must show detailed reasoning. J N 50 1 / 1 KK OO Find , expressing the answer as an exact fraction. [3] - + r 1 r 1 - r L P 2 =
- June 2019, AS Core Pure, Q1 (3 marks): In this question you must show detailed reasoning. 1J N 100 1 / KK OO Find , giving your answer correct to 4 decimal places. [3] - + r r 2 r 1 L P =
- June 2018, AS Core Pure, Q7 (9 marks): 1 7 (i) Express r [2] + as a single fraction. - r 2 1 2 1 - (ii) Find how many terms of the series 2 2 2 2 + + + f + + f 1 3 3 5 5 7 ( 2 r 1 2 )( r 1 ) - + # #
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