Lesson D4

D4 Arithmetic sequences and series Quiz: AQA Maths, Unit 4

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson D4, Arithmetic sequences and series: 20 multiple choice questions for the AQA Maths (7357), Unit 4: Sequences and series, written with Revision Ninja.

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The 20 questions

  1. What is the formula for the nth term of an arithmetic sequence with first term a and common difference d?

    • a(n - 1)d
    • a + nd
    • n(a + d)
    • a + (n - 1)d

  2. What is the formula for the sum of the first n terms of an arithmetic series?

    • n/2 (a + d)
    • n(2a + nd)
    • n/2 (2a + (n - 1)d)
    • n(a + (n - 1)d)

  3. What is the common difference of an arithmetic sequence?

    • The constant difference between consecutive terms
    • The sum of all terms
    • The constant ratio between consecutive terms
    • The first term of the sequence

  4. What is the 20th term of 3, 7, 11, ...?

    • 83
    • 79
    • 76
    • 75

  5. Which term of 5, 9, 13, ... is 101?

    • 26
    • 25
    • 101
    • 24

  6. What is the sum of the first 20 terms of 3, 7, 11, ...?

    • 410
    • 820
    • 780
    • 800

  7. What is the sum of the integers from 1 to 100?

    • 10100
    • 5000
    • 5050
    • 4950

  8. An arithmetic sequence has a_5 = 14 and a_9 = 26. What are a and d?

    • a = 14, d = 3
    • a = 3, d = 2
    • a = -2, d = 4
    • a = 2, d = 3

  9. What is the sum of the first 10 terms of 20 + 18 + 16 + ...?

    • 110
    • 120
    • 90
    • 100

  10. What is the common difference of an arithmetic sequence whose terms are all equal?

    • n
    • 1
    • 0
    • a

  11. A salary starts at £20000 and rises by £1500 each year. What is the total earned in the first 5 years?

    • £100000
    • £115000
    • £120000
    • £110000

  12. An arithmetic sequence has a = 5 and S_4 = 26. What is d?

    • d = 2
    • d = 4
    • d = 1
    • d = 3

  13. The 3rd term of an arithmetic sequence is 10 and the 7th term is 22. What is the first term?

    • 4
    • 10
    • 6
    • 3

  14. How many multiples of 7 are there from 7 to 196 inclusive?

    • 29
    • 28
    • 196
    • 27

  15. What is the sum of all odd numbers from 1 to 99?

    • 2500
    • 2450
    • 5000
    • 2550

  16. An arithmetic series has S_n = 3n^2 + n. What is the 4th term?

    • 24
    • 20
    • 19
    • 22

  17. An arithmetic series has a = 2 and S_10 = 155. What is d?

    • d = 3
    • d = 4
    • d = 2
    • d = 5

  18. For k - 1, k + 3 and 2k + 1 to be consecutive terms of an arithmetic sequence, what is k?

    • k = 2
    • k = 3
    • k = 4
    • k = 6

  19. An arithmetic sequence has u_10 = 31 and u_20 = 61. What is S_20?

    • 1220
    • 650
    • 700
    • 610

  20. For an arithmetic sequence, which condition guarantees u_m + u_n = u_p + u_q?

    • m x n = p x q
    • m + n = p + q
    • m - n = p - q
    • m = p and n = q

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