Lesson 1.04h

1.04h Arithmetic and geometric series Quiz: OCR Maths, Unit 4

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 1.04h, Arithmetic and geometric series: 20 multiple choice questions for the OCR Maths (H240), Unit 4: Sequences and Series, written with Revision Ninja.

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The 20 questions

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

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

  2. Which formula gives the sum of the first n terms of an arithmetic series?

    • n/2 (2a + (n - 1)d)
    • a(1 - r^n)/(1 - r)
    • n(a + d)^2
    • n a d

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

    • 83
    • 80
    • 76
    • 79

  4. What is the sum of the integers from 1 to 10?

    • 50
    • 45
    • 55
    • 100

  5. A geometric sequence has a = 3 and r = 2. What is the 6th term?

    • 64
    • 48
    • 192
    • 96

  6. What is the sum of the first 5 terms of the geometric series 1 + 2 + 4 + ...?

    • 30
    • 16
    • 32
    • 31

  7. What is the sum to infinity of a geometric series with a = 6 and r = 1/3?

    • 8
    • 6
    • 18
    • 9

  8. Which geometric series is convergent?

    • r = 1
    • r = 3/2
    • r = 0.5
    • r = -2

  9. A salary starts at £20000 and rises by £500 each year. What is the salary in year 5?

    • £22500
    • £20500
    • £22000
    • £25000

  10. £1000 is invested at 5% compound interest per year. What is its value after 3 years?

    • £1157.63
    • £1150.00
    • £1200.00
    • £1050.00

  11. The sum of the first n terms of a series is S_n = 3n^2 + 2n. What is the nth term u_n?

    • 3n^2 + 2n
    • 3n + 2
    • 6n - 1
    • 6n + 5

  12. What is the common ratio of the geometric sequence 6, -12, 24, ...?

    • 1/2
    • -1/2
    • -2
    • 2

  13. How many terms of the arithmetic sequence 5, 8, 11, ... are needed to reach 98?

    • 33
    • 31
    • 98
    • 32

  14. A geometric series has a = 12 and sum to infinity 48. What is the common ratio?

    • 4/3
    • 1/4
    • 3/4
    • 1/3

  15. An arithmetic series has a = 2 and S_10 = 155. What is the common difference?

    • 5
    • 4
    • 3
    • 2

  16. A geometric sequence has a = 2 and r = 3. What is the sum of its 4th to 8th terms?

    • 6642
    • 6480
    • 4374
    • 6534

  17. How many terms of the arithmetic sequence 2, 5, 8, ... give a sum of 155?

    • 10
    • 9
    • 11
    • 12

  18. An infinite geometric series has first term 4 and sum 10. What is the common ratio?

    • 0.4
    • 0.6
    • 0.3
    • -0.6

  19. Positive numbers 3, x, 27 form a geometric sequence. What is x?

    • 12
    • 15
    • 9
    • 6

  20. What is the sum to infinity of 0.2 + 0.02 + 0.002 + ...?

    • 1/5
    • 1/9
    • 2/10
    • 2/9

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