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Method of differences: Edexcel A‑Level Further Maths questions

Edexcel 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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789 questions

  1. Q5

    June 2025 · Core Pure 1

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  2. Q4

    June 2024 · Core Pure 2

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  3. Q4

    June 2022 · Core Pure 1

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  4. Q4

    June 2019 · Core Pure 1

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All 4 questions on Method of differences, as a list
  1. June 2025, Core Pure 1, Q5 (5 marks): Use the method of differences to prove that for n > 2 4 1 2 2 1 1 r r n pn q n n n where p and q are constants to be determined. (5)
  2. June 2024, Core Pure 2, Q4 (6 marks): Use the method of differences to show that 2 4 6 30 5 6 1 r r n an b n n r n  where a and b are integers to be determined. (6)
  3. June 2022, Core Pure 1, Q4 (7 marks): (a) Use the method of differences to prove that for n > 2 ln ln r r n n r n + −    ≡ + ( )     =∑ 1 1 1 2 2 (4) (b) Hence find the exact value of ln
  4. June 2019, Core Pure 1, Q4 (5 marks): Prove that, for n ], n . 1 1 2 3 2 3 0 r r r n a n b c n n r n + ( ) + ( ) + ( ) = + ( ) + ( ) + ( ) + ( ) =∑ where a, b and cDUHLQWHJHUVWREHIRXQG (5)

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