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Special sequences: OCR GCSE Maths questions

Every OCR GCSE Maths exam question on A24 Special 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. Q6

    June 2025 · Paper 5

    6 marksN4 Primes, factors and multiplesA24 Special sequences
    The whole paper ↗
    June 2025 Paper 5, question 6: Sara and Tom both make a sequence of numbers. The first term in both sequences is 10. The term-to-term rule for Sara’s sequence is add 14. The term-to-term rule

  3. 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

  4. Q9

    November 2024 · Paper 6

    6 marksA24 Special sequencesA4 Simplifying, expanding and factorising
    The whole paper ↗
    November 2024 Paper 6, question 9: The next term in a Fibonacci sequence is found by adding together the previous two terms. In a particular Fibonacci sequence: • the first term is 3 • the second

  5. 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

  6. Q17

    June 2023 · Paper 6

    4 marksA24 Special sequencesN7 Laws of indices
    The whole paper ↗
    June 2023 Paper 6, question 17: The kth term of a sequence is r k, where r 0 . ! The sixth term is equal to three times the second term. Find the value of r, giving your answer correct to 3 de

  7. Q18

    November 2022 · Paper 4

    13 marksA24 Special sequences
    The whole paper ↗
    November 2022 Paper 4, question 18: (a) The next term in a Fibonacci sequence is found by adding together the two previous terms. (i) The first and second terms of a particular Fibonacci sequence

  8. Q17

    November 2020 · Paper 6

    4 marksA24 Special sequencesA25 The nth term
    The whole paper ↗
    November 2020 Paper 6, question 17: Here is a sequence. 3 3 5 15 15 5 (a) Work out the next term. (a) (b) Find the nth term. (b)

  9. Q16

    November 2018 · Paper 5

    4 marksA24 Special sequencesA25 The nth term
    The whole paper ↗
    November 2018 Paper 5, question 16: Here is a sequence. 5 5 3 15 15 3 (a) Work out the next term. (a) (b) Find the nth term. (b)

  10. Q2

    November 2017 · Paper 5

    4 marksA25 The nth termA24 Special sequences
    The whole paper ↗
    November 2017 Paper 5, question 2: (a) Write the next term in each of these sequences. (i) 1 1 2 3 5 8 (a)(i) (ii) 2 4 8 16 32 64 (ii) (b) Write an expression for the nth term of the sequence bel
All 10 questions on Special 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. June 2025, Paper 5, Q6 (6 marks): Sara and Tom both make a sequence of numbers. The first term in both sequences is 10. The term-to-term rule for Sara’s sequence is add 14. The term-to-term rule
  3. 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
  4. November 2024, Paper 6, Q9 (6 marks): The next term in a Fibonacci sequence is found by adding together the previous two terms. In a particular Fibonacci sequence: • the first term is 3 • the second
  5. 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
  6. June 2023, Paper 6, Q17 (4 marks): The kth term of a sequence is r k, where r 0 . ! The sixth term is equal to three times the second term. Find the value of r, giving your answer correct to 3 de
  7. November 2022, Paper 4, Q18 (13 marks): (a) The next term in a Fibonacci sequence is found by adding together the two previous terms. (i) The first and second terms of a particular Fibonacci sequence
  8. November 2020, Paper 6, Q17 (4 marks): Here is a sequence. 3 3 5 15 15 5 (a) Work out the next term. (a) (b) Find the nth term. (b)
  9. November 2018, Paper 5, Q16 (4 marks): Here is a sequence. 5 5 3 15 15 3 (a) Work out the next term. (a) (b) Find the nth term. (b)
  10. November 2017, Paper 5, Q2 (4 marks): (a) Write the next term in each of these sequences. (i) 1 1 2 3 5 8 (a)(i) (ii) 2 4 8 16 32 64 (ii) (b) Write an expression for the nth term of the sequence bel

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