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Generating sequences: OCR GCSE Maths questions

Every OCR GCSE Maths exam question on A23 Generating sequences, 2017–2025, with its mark scheme and examiner’s report.

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921 questions

  1. Q18

    June 2025 · Paper 4

    6 marksA24 Special sequencesA23 Generating sequences
    The whole paper ↗
    June 2025 Paper 4, question 18: (a) A sequence is defined by u ku 2 , u 7 and u 29 5 . . 1 = - 2 = 3 = n n + Find the value of k. (a) k = (b) Another sequence is defined by u 6 u 7 . 1 = - n n

  2. Q18

    November 2024 · Paper 4

    6 marksA23 Generating sequencesA24 Special sequences
    The whole paper ↗
    November 2024 Paper 4, question 18: Some sequences are defined using this term-to-term rule. u 5 u 8 . 1 = - n n + (a) If u 22 , show that u 102 . 3 = 4 = (b) If u 22 , work out u2. 3 = (b) (c) If

  3. Q17

    November 2023 · Paper 4

    5 marksA25 The nth termA23 Generating sequences
    The whole paper ↗
    November 2023 Paper 4, question 17: (a) A sequence is defined by -2. u 3 u 7 and u = + = n 1 n 1 + Work out the value of u2 and the value of u3. (a) u2 = u3 = (b) Here are the first four terms of

  4. Q10

    November 2023 · Paper 5

    4 marksA24 Special sequencesA23 Generating sequences
    The whole paper ↗
    November 2023 Paper 5, question 10: (a) Find the next term of this sequence. 1 3 9 27 81 (b) In the Fibonacci sequence below, the next term is found by adding the two previous terms. The third ter

  5. Q11

    November 2019 · Paper 6

    8 marksA23 Generating sequencesA20 Iteration
    Mark scheme (PDF)
    The whole paper ↗
    November 2019 Paper 6, question 11: A sequence is defined by the rule u 5 u 15 . 1 = - n n + (a) If u 6 , calculate 3 = (i) u5 (a)(i) u5 = (ii) u2 (ii) u2 = (b) Trevor says If u 1 = 3.75 then u 10

  6. Q12

    November 2017 · Paper 6

    6 marksA23 Generating sequencesA21 Forming and solving equations
    The whole paper ↗
    November 2017 Paper 6, question 12: (a) A sequence is defined using this term-to-term rule. u 2 u 15 1 = + n n + If u1 = 5, find u2 . (a) (b) Another sequence is defined using this term-to-term ru
All 6 questions on Generating sequences, as a list
  1. June 2025, Paper 4, Q18 (6 marks): (a) A sequence is defined by u ku 2 , u 7 and u 29 5 . . 1 = - 2 = 3 = n n + Find the value of k. (a) k = (b) Another sequence is defined by u 6 u 7 . 1 = - n n
  2. November 2024, Paper 4, Q18 (6 marks): Some sequences are defined using this term-to-term rule. u 5 u 8 . 1 = - n n + (a) If u 22 , show that u 102 . 3 = 4 = (b) If u 22 , work out u2. 3 = (b) (c) If
  3. November 2023, Paper 4, Q17 (5 marks): (a) A sequence is defined by -2. u 3 u 7 and u = + = n 1 n 1 + Work out the value of u2 and the value of u3. (a) u2 = u3 = (b) Here are the first four terms of
  4. November 2023, Paper 5, Q10 (4 marks): (a) Find the next term of this sequence. 1 3 9 27 81 (b) In the Fibonacci sequence below, the next term is found by adding the two previous terms. The third ter
  5. November 2019, Paper 6, Q11 (8 marks): A sequence is defined by the rule u 5 u 15 . 1 = - n n + (a) If u 6 , calculate 3 = (i) u5 (a)(i) u5 = (ii) u2 (ii) u2 = (b) Trevor says If u 1 = 3.75 then u 10
  6. November 2017, Paper 6, Q12 (6 marks): (a) A sequence is defined using this term-to-term rule. u 2 u 15 1 = + n n + If u1 = 5, find u2 . (a) (b) Another sequence is defined using this term-to-term ru

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