Lesson A23

A23 Generating terms of sequences from rules Quiz: AQA Maths, Unit 2

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson A23, Generating terms of sequences from rules: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 2: Algebra, written with Revision Ninja.

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The 20 questions

  1. A sequence starts at 3 and adds 4 each time. What is the 5th term?

    • 20
    • 23
    • 15
    • 19

  2. The nth term of a sequence is 2n + 1. What is the 4th term?

    • 11
    • 7
    • 9
    • 8

  3. A sequence starts at 2 and multiplies by 3 each time. What is the 4th term?

    • 162
    • 24
    • 18
    • 54

  4. The nth term is n^2 + 1. What is the 3rd term?

    • 7
    • 9
    • 19
    • 10

  5. A pattern of squares uses 3n + 1 matches for n squares. How many matches are needed for 5 squares?

    • 13
    • 21
    • 15
    • 16

  6. A sequence starts at 100 and subtracts 7 each time. Which term is 79?

    • The 3rd term
    • The 6th term
    • The 4th term
    • The 5th term

  7. Which term of the sequence 5n - 3 is equal to 42?

    • The 11th term
    • The 10th term
    • The 8th term
    • The 9th term

  8. A sequence starts at 1 and multiplies by -2 each time. What is the 5th term?

    • 32
    • 16
    • -16
    • 8

  9. Which rule gives the sequence 4, 8, 12, 16 when n = 1, 2, 3, 4?

    • 4n
    • 4n + 4
    • 2n + 2
    • n + 3

  10. Which of these is a position-to-term rule?

    • Add 3 to the previous term
    • Start at 5 and subtract 2
    • Multiply the previous term by 2
    • T(n) = 3n - 2

  11. A sequence starts at 5 and each term is 4 less than the previous one. What is the 6th term?

    • -15
    • 1
    • -19
    • -11

  12. For T(n) = n^2 - 1, which term equals 24?

    • The 6th term
    • The 5th term
    • The 12th term
    • The 4th term

  13. The sequence 2, 5, 10, 17 has rule T(n) = n^2 + 1. What is the 6th term?

    • 36
    • 35
    • 37
    • 41

  14. A sequence is 1, 4, 9, 16. What is the next term?

    • 20
    • 36
    • 25
    • 24

  15. A sequence is 7, 10, 13, 16. Which position-to-term rule fits?

    • 3n + 4
    • 3n + 7
    • 7n + 3
    • n + 6

  16. Each term is the sum of the previous two, starting 1, 1. What is the 5th term?

    • 8
    • 4
    • 6
    • 5

  17. T(n) = 10 - 2n. Which term is equal to 0?

    • The 6th term
    • The 0th term
    • The 5th term
    • The 4th term

  18. A sequence of dots has terms 1, 3, 6, 10. What is the 5th term?

    • 14
    • 20
    • 12
    • 15

  19. Given the first three terms 3, 6, 12, which term-to-term rule is used?

    • Square the previous term
    • Add 3 to the previous term
    • Subtract 3 from the previous term
    • Multiply the previous term by 2

  20. Why is a position-to-term rule useful for finding the 100th term?

    • It works only for sequences of whole numbers, never fractions or decimals
    • It gives any term directly from its position without listing earlier terms
    • It always uses the previous term, so it is faster to apply
    • It needs only the first term, then adds the common difference each time

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