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Special sequences: Edexcel GCSE Maths questions

Every Edexcel GCSE Maths exam question on A24 Special sequences, 2017–2025, with its mark scheme and examiner’s report.

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  1. Q20

    June 2024 · Paper 3H

    7 marksA24 Special sequencesA21 Forming and solving equations
    The whole paper ↗
    June 2024 Paper 3H, question 20: x – 4, x + 2 and 3x + 1 are three consecutive terms of an arithmetic sequence. (a) Find the value of x. x = y – 4, y + 2 and 3y + 1 are three consecutive terms

  2. Q22

    November 2023 · Paper 1H

    4 marksA24 Special sequencesN8 Exact calculation and surds
    The whole paper ↗
    November 2023 Paper 1H, question 22: The 2nd term of a geometric sequence is 3 + 2 2 The 3rd term of the sequence is 13 + 9 2 Find the value of the common ratio of the sequence. Give your answer in

  3. Q13

    June 2023 · Paper 3H

    3 marksA6 Identities and algebraic proofA24 Special sequences
    The whole paper ↗
    June 2023 Paper 3H, question 13: An expression for the nth term of the sequence of triangular numbers is n n + 1 ( ) 2 Prove that the sum of any two consecutive triangular numbers is a square n

  4. Q23

    November 2022 · Paper 1H

    5 marksA24 Special sequences
    The whole paper ↗
    November 2022 Paper 1H, question 23: Here are the first five terms of a geometric sequence. 5 10 20 5 200 400 5 (a) Work out the next term of the sequence. The 4th term of a different geometric seq

  5. Q5

    November 2021 · Paper 3H

    3 marksA24 Special sequencesA17 Linear equations
    The whole paper ↗
    November 2021 Paper 3H, question 5: The first four terms of a Fibonacci sequence are a 2a 3a 5a The sum of the first five terms of this sequence is 228 Work out the value of a.

  6. Q23

    November 2017 · Paper 2H

    5 marksA24 Special sequencesN8 Exact calculation and surds
    The whole paper ↗
    November 2017 Paper 2H, question 23: is 5 marks)
All 6 questions on Special sequences, as a list
  1. June 2024, Paper 3H, Q20 (7 marks): x – 4, x + 2 and 3x + 1 are three consecutive terms of an arithmetic sequence. (a) Find the value of x. x = y – 4, y + 2 and 3y + 1 are three consecutive terms
  2. November 2023, Paper 1H, Q22 (4 marks): The 2nd term of a geometric sequence is 3 + 2 2 The 3rd term of the sequence is 13 + 9 2 Find the value of the common ratio of the sequence. Give your answer in
  3. June 2023, Paper 3H, Q13 (3 marks): An expression for the nth term of the sequence of triangular numbers is n n + 1 ( ) 2 Prove that the sum of any two consecutive triangular numbers is a square n
  4. November 2022, Paper 1H, Q23 (5 marks): Here are the first five terms of a geometric sequence. 5 10 20 5 200 400 5 (a) Work out the next term of the sequence. The 4th term of a different geometric seq
  5. November 2021, Paper 3H, Q5 (3 marks): The first four terms of a Fibonacci sequence are a 2a 3a 5a The sum of the first five terms of this sequence is 228 Work out the value of a.
  6. November 2017, Paper 2H, Q23 (5 marks): is 5 marks)

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