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The nth term: OCR GCSE Maths questions

Every OCR GCSE Maths exam question on A25 The nth term, 2017–2025, with its mark scheme and examiner’s report.

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921 questions

  1. Q22

    November 2024 · Paper 5

    6 marksA6 Identities and algebraic proofA25 The nth term
    The whole paper ↗
    November 2024 Paper 5, question 22: A sequence has nth term n 2 1 Prove algebraically that the sum of any two consecutive terms in this sequence is always a multiple of 4.

  2. Q14

    June 2024 · Paper 5

    3 marksA25 The nth term
    The whole paper ↗
    June 2024 Paper 5, question 14: Here are the first four terms of a sequence. 2 4 6 8 5 9 13 17 Find the nth term of the sequence.

  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. Q12

    June 2023 · Paper 5

    4 marksA25 The nth term
    The whole paper ↗
    June 2023 Paper 5, question 12: Here are the first four terms of a sequence. 2 10 5 17 8 26 11 5 (a) Find the next term. (a) (b) Find the nth term. (b)

  5. Q15

    November 2021 · Paper 4

    4 marksA25 The nth term
    The whole paper ↗
    November 2021 Paper 4, question 15: Here are the first four terms of a quadratic sequence. -1 3 13 29 2 + The nth term is an . bn c + Find the values of a, b and c. a = b = c =

  6. 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)

  7. Q12

    June 2019 · Paper 4

    7 marksA25 The nth termA21 Forming and solving equations
    The whole paper ↗
    June 2019 Paper 4, question 12: (a) Here are the first four terms of a sequence. -1 4 9 14 Write an expression for the nth term of this sequence. (a) (b) The nth term of another sequence is gi

  8. Q17

    November 2018 · Paper 4

    4 marksA25 The nth term
    The whole paper ↗
    November 2018 Paper 4, question 17: Here are the first four terms of a quadratic sequence. 2 15 34 59 The nth term is an2 + bn + c. Find the values of a, b and c. a = b = c =

  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. Q19

    June 2018 · Paper 4

    4 marksA25 The nth term
    The whole paper ↗
    June 2018 Paper 4, question 19: Here are the first four terms of a quadratic sequence. 0 9 22 39 The nth term can be written as an2 + bn + c. Find the values of a, b and c. a = b = c =

  11. 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

  12. Q19

    June 2017 · Paper 4

    6 marksA25 The nth term
    The whole paper ↗
    June 2017 Paper 4, question 19: (a) Here are the first four terms of a sequence. 1 4 9 16 2 3 4 5 Find the nth term of this sequence. (a) (b) Here are the first four terms of a quadratic seque
All 12 questions on The nth term, as a list
  1. November 2024, Paper 5, Q22 (6 marks): A sequence has nth term n 2 1 Prove algebraically that the sum of any two consecutive terms in this sequence is always a multiple of 4.
  2. June 2024, Paper 5, Q14 (3 marks): Here are the first four terms of a sequence. 2 4 6 8 5 9 13 17 Find the nth term of the sequence.
  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. June 2023, Paper 5, Q12 (4 marks): Here are the first four terms of a sequence. 2 10 5 17 8 26 11 5 (a) Find the next term. (a) (b) Find the nth term. (b)
  5. November 2021, Paper 4, Q15 (4 marks): Here are the first four terms of a quadratic sequence. -1 3 13 29 2 + The nth term is an . bn c + Find the values of a, b and c. a = b = c =
  6. 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)
  7. June 2019, Paper 4, Q12 (7 marks): (a) Here are the first four terms of a sequence. -1 4 9 14 Write an expression for the nth term of this sequence. (a) (b) The nth term of another sequence is gi
  8. November 2018, Paper 4, Q17 (4 marks): Here are the first four terms of a quadratic sequence. 2 15 34 59 The nth term is an2 + bn + c. Find the values of a, b and c. a = b = c =
  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. June 2018, Paper 4, Q19 (4 marks): Here are the first four terms of a quadratic sequence. 0 9 22 39 The nth term can be written as an2 + bn + c. Find the values of a, b and c. a = b = c =
  11. 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
  12. June 2017, Paper 4, Q19 (6 marks): (a) Here are the first four terms of a sequence. 1 4 9 16 2 3 4 5 Find the nth term of this sequence. (a) (b) Here are the first four terms of a quadratic seque

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