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The nth term: AQA GCSE Maths questions

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

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1,304 questions

  1. Q8

    June 2025 · Paper 3H

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    June 2025 Paper 3H, question 8: A linear sequence has • 2nd term = 6 • 5th term = 18 Work out the nth term of the sequence. Answer
  2. Q18

    June 2025 · Paper 3H

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    June 2025 Paper 3H, question 18: Here are the first four terms of a quadratic sequence. 6 15 28 45 Work out an expression for the nth term. Answer
  3. Q22

    November 2024 · Paper 2H

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    November 2024 Paper 2H, question 22: The nth term of a sequence is n2 – 30n + 236 By completing the square, show that all the terms of the sequence have two or more digits.
  4. Q1

    November 2023 · Paper 3H

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    November 2023 Paper 3H, question 1: The first four terms of a linear sequence are 6 13 20 27 Write down the expression for the nth term. Answer
  5. Q19

    June 2023 · Paper 2H

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    June 2023 Paper 2H, question 19: Here are the first four terms of a quadratic sequence. 3 20 47 84 Work out an expression for the nth term of the sequence. Answer
  6. Q10

    November 2022 · Paper 2H

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    November 2022 Paper 2H, question 10: The nth terms of two linear sequences, A and B, are added to give the nth term of a new sequence. The new sequence starts 8 13 18 23 The nth term of sequence A
  7. Q7

    November 2022 · Paper 3H

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    November 2022 Paper 3H, question 7: (a) Here is the rule for a sequence. The 1st term is 33 The 2nd term is x The 4th term is 73 Work out the value of x. After the first two terms, each term is th
  8. Q7

    June 2022 · Paper 3H

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    June 2022 Paper 3H, question 7: A is an arithmetic progression. Here are the first four terms. 13 16 19 22 G is a geometric progression. Here are the first four terms. 2 4 8 16 Work out the va
  9. Q21

    November 2021 · Paper 1H

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    November 2021 Paper 1H, question 21: The first two terms of a quadratic sequence are 10 and 17 Here is some information about the sequence. Work out an expression for the nth term of the sequence.
  10. Q22

    November 2021 · Paper 3H

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    November 2021 Paper 3H, question 22: A sequence of patterns is made using horizontal sticks and vertical sticks. The table shows the number of horizontal sticks and vertical sticks in each pattern.
  11. Q13

    November 2019 · Paper 1H

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    November 2019 Paper 1H, question 13: The nth term of a sequence is 3 4) ( + − n n n Work out the sum of the 1st and 6th terms. Answer
  12. Q10

    November 2019 · Paper 2H

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    November 2019 Paper 2H, question 10: The 5th term of a linear sequence is 17 The 6th term of the sequence is 21 Work out the 100th term of the sequence. Answer
  13. Q21

    November 2018 · Paper 1H

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    November 2018 Paper 1H, question 21: Here are the first four terms of a quadratic sequence. 11 26 45 68 Work out an expression for the nth term. Answer
  14. Q3

    November 2018 · Paper 3H

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    November 2018 Paper 3H, question 3: The first 4 terms of a linear sequence are 3 11 19 27 Circle the expression for the nth term. 8 – 5n n + 8 8n + 3 8n – 5
  15. Q20

    June 2018 · Paper 1H

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    June 2018 Paper 1H, question 20: A linear sequence starts a + 2b a + 6b a + 10b …….. …….. The 2nd term has value 8 The 5th term has value 44 Work out the values of a and b. a = b =
  16. Q10

    June 2018 · Paper 3H

    The whole paper ↗
    June 2018 Paper 3H, question 10: The nth term of a sequence is 12n – 5 Work out the numbers in the sequence that have two digits and are not prime. Answer
  17. Q3

    November 2017 · Paper 3H

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    November 2017 Paper 3H, question 3: The first four terms of a sequence are –10 –8 –6 –4 Circle the expression for the nth term of the sequence. –12 – 2n –8 – 2n n + 2 2n – 12
  18. Q4

    June 2017 · Paper 2H

    The whole paper ↗
    June 2017 Paper 2H, question 4: Here is a sequence. 90 82 74 66 58 Circle the expression for the nth term of the sequence. n – 8 98 – 8n 8n + 82 8n – 98
  19. Q22

    June 2017 · Paper 3H

    The whole paper ↗
    June 2017 Paper 3H, question 22: Work out an expression for the nth term of the quadratic sequence 2 17 40 71 Give your answer in the form an 2 + bn + c where a, b and c are constants. Answer
All 19 questions on The nth term, as a list
  1. June 2025, Paper 3H, Q8 (3 marks): A linear sequence has • 2nd term = 6 • 5th term = 18 Work out the nth term of the sequence. Answer
  2. June 2025, Paper 3H, Q18 (3 marks): Here are the first four terms of a quadratic sequence. 6 15 28 45 Work out an expression for the nth term. Answer
  3. November 2024, Paper 2H, Q22 (3 marks): The nth term of a sequence is n2 – 30n + 236 By completing the square, show that all the terms of the sequence have two or more digits.
  4. November 2023, Paper 3H, Q1 (1 mark): The first four terms of a linear sequence are 6 13 20 27 Write down the expression for the nth term. Answer
  5. June 2023, Paper 2H, Q19 (4 marks): Here are the first four terms of a quadratic sequence. 3 20 47 84 Work out an expression for the nth term of the sequence. Answer
  6. November 2022, Paper 2H, Q10 (4 marks): The nth terms of two linear sequences, A and B, are added to give the nth term of a new sequence. The new sequence starts 8 13 18 23 The nth term of sequence A
  7. November 2022, Paper 3H, Q7 (4 marks): (a) Here is the rule for a sequence. The 1st term is 33 The 2nd term is x The 4th term is 73 Work out the value of x. After the first two terms, each term is th
  8. June 2022, Paper 3H, Q7 (4 marks): A is an arithmetic progression. Here are the first four terms. 13 16 19 22 G is a geometric progression. Here are the first four terms. 2 4 8 16 Work out the va
  9. November 2021, Paper 1H, Q21 (4 marks): The first two terms of a quadratic sequence are 10 and 17 Here is some information about the sequence. Work out an expression for the nth term of the sequence.
  10. November 2021, Paper 3H, Q22 (3 marks): A sequence of patterns is made using horizontal sticks and vertical sticks. The table shows the number of horizontal sticks and vertical sticks in each pattern.
  11. November 2019, Paper 1H, Q13 (3 marks): The nth term of a sequence is 3 4) ( + − n n n Work out the sum of the 1st and 6th terms. Answer
  12. November 2019, Paper 2H, Q10 (3 marks): The 5th term of a linear sequence is 17 The 6th term of the sequence is 21 Work out the 100th term of the sequence. Answer
  13. November 2018, Paper 1H, Q21 (3 marks): Here are the first four terms of a quadratic sequence. 11 26 45 68 Work out an expression for the nth term. Answer
  14. November 2018, Paper 3H, Q3 (1 mark): The first 4 terms of a linear sequence are 3 11 19 27 Circle the expression for the nth term. 8 – 5n n + 8 8n + 3 8n – 5
  15. June 2018, Paper 1H, Q20 (4 marks): A linear sequence starts a + 2b a + 6b a + 10b …….. …….. The 2nd term has value 8 The 5th term has value 44 Work out the values of a and b. a = b =
  16. June 2018, Paper 3H, Q10 (3 marks): The nth term of a sequence is 12n – 5 Work out the numbers in the sequence that have two digits and are not prime. Answer
  17. November 2017, Paper 3H, Q3 (1 mark): The first four terms of a sequence are –10 –8 –6 –4 Circle the expression for the nth term of the sequence. –12 – 2n –8 – 2n n + 2 2n – 12
  18. June 2017, Paper 2H, Q4 (1 mark): Here is a sequence. 90 82 74 66 58 Circle the expression for the nth term of the sequence. n – 8 98 – 8n 8n + 82 8n – 98
  19. June 2017, Paper 3H, Q22 (3 marks): Work out an expression for the nth term of the quadratic sequence 2 17 40 71 Give your answer in the form an 2 + bn + c where a, b and c are constants. Answer

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