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Summation of series: CAIE A‑Level Further Maths questions

Every CAIE A-Level Further Maths exam question on 1.3 Summation of series, June 2024 and the specimen papers, with its mark scheme and examiner’s report.

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56 questions

  1. Q3

    June 2024 · Paper 1

    The whole paper ↗
    June 2024 Paper 1, question 3: (a) Use standard results from the list of formulae (MF19) to show that N =/ r r ( 1 3 )( r 4 ) 1 N N ( 1 )( N 2 9 )( N 19 ). [3] + + = + + + 12 r 1 7 3 r 4 + (b
  2. Q1

    Specimen · Paper 1

    The whole paper ↗
    Specimen Paper 1, question 1: 1 (a) Given that f(r) = ( , show that r 1 )( r 2 ) + + 2 f(r – 1) – f(r) = ( . [2] r r 1 )( r 2 ) + + n 1 (b) Hence find / . [3] r r ( 1 )( r 2 ) + + r = 1 1 3
All 2 questions on Summation of series, as a list
  1. June 2024, Paper 1, Q3 (8 marks): (a) Use standard results from the list of formulae (MF19) to show that N =/ r r ( 1 3 )( r 4 ) 1 N N ( 1 )( N 2 9 )( N 19 ). [3] + + = + + + 12 r 1 7 3 r 4 + (b
  2. Specimen, Paper 1, Q1 (6 marks): 1 (a) Given that f(r) = ( , show that r 1 )( r 2 ) + + 2 f(r – 1) – f(r) = ( . [2] r r 1 )( r 2 ) + + n 1 (b) Hence find / . [3] r r ( 1 )( r 2 ) + + r = 1 1 3

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