Lesson 1.04e

1.04e Sequences and sigma notation Quiz: OCR Maths, Unit 4

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 1.04e, Sequences and sigma notation: 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 term for the sum of the terms in a sequence?

    • Progression
    • Series
    • Limit
    • Modulus

  2. If u_n = 3n - 2, what is u_5?

    • 13
    • 15
    • 12
    • 10

  3. A sequence is defined by x_(n+1) = 2x_n + 1 with x_1 = 0. What is x_4?

    • 4
    • 7
    • 5
    • 15

  4. Which description fits the sequence u_n = (-1)^n?

    • Decreasing
    • Periodic
    • Convergent to 1
    • Increasing

  5. Which sequence is increasing for all n >= 1?

    • u_n = n^2
    • u_n = (-1)^n
    • u_n = 5 - n
    • u_n = 1/n

  6. Which sequence is finite?

    • 1, 2, 3, 4, ...
    • 2, 4, 8, 16, ...
    • u_n = 1/n for all n
    • 1, 2, 3, ..., 10

  7. What is the fixed point of the recurrence x_(n+1) = 0.5 x_n + 3?

    • 1.5
    • 0
    • 3
    • 6

  8. What is u_4 for u_n = n(n + 1)/2?

    • 10
    • 6
    • 8
    • 12

  9. What is the nth term of the sequence 2, 5, 8, 11, 14, ...?

    • 3n - 1
    • 3n + 2
    • 2n + 1
    • n + 1

  10. A sequence has x_1 = 1 and x_(n+1) = 2x_n - 3. What is x_3?

    • -3
    • 1
    • -5
    • -1

  11. For u_n = 10 - 2n, how many terms are positive?

    • 5
    • 10
    • 3
    • 4

  12. Which sequence is both decreasing and bounded below for n ≥ 1?

    • u_n = 2^n
    • u_n = 1/n
    • u_n = (-1)^n
    • u_n = -n

  13. The sequence 1, 2, 3, 1, 2, 3, 1, 2, 3, ... repeats. What is its period?

    • 2
    • 6
    • 3
    • 1

  14. What is u_6 for u_n = (n^2 - 1)/(n + 1)?

    • 6
    • 4
    • 7
    • 5

  15. For the sequence 3n - 2, which term equals 100?

    • The 33rd term
    • The 34th term
    • The 35th term
    • The 102nd term

  16. A sequence has x_1 = 1 and x_(n+1) = x_n + n. What is x_5?

    • 10
    • 9
    • 15
    • 11

  17. What type of sequence is u_n = 2^n - n for n ≥ 1?

    • Oscillating
    • Periodic
    • Increasing
    • Decreasing

  18. What is x_4 for x_1 = 1 and x_(n+1) = 1 + 1/x_n?

    • 5/3
    • 2
    • 3/2
    • 8/5

  19. What is the behaviour of the sequence u_n = (-1)^n n for n ≥ 1?

    • Convergent to 0
    • Divergent
    • Periodic
    • Convergent to 1

  20. What is the minimum term of u_n = n^2 - 6n + 10?

    • 1
    • -1
    • 0
    • 10

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