Lesson D2-D3

D2-D3 Sequences and sigma notation Quiz: AQA Maths, Unit 4

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson D2-D3, Sequences and sigma notation: 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. In standard mathematical sequence notation, what does the symbol u_n represent?

    • Sum of terms
    • The nth term
    • The first term
    • The common difference

  2. Which algebraic condition defines a strictly increasing mathematical sequence?

    • u_{n+1} < u_n
    • u_{n+1} > u_n
    • u_{n+1} = u_n
    • u_n > 0

  3. What key property characterises a periodic sequence of numbers?

    • Increasing terms
    • Alternating signs
    • Approaching zero
    • Repeating terms

  4. What is u_5 for the sequence u_n = 3n - 2?

    • 15
    • 12
    • 13
    • 10

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

    • 31
    • 13
    • 15
    • 7

  6. For x_(n+1) = 1/x_n with x_1 = 2, what is x_101?

    • 1
    • 1/2
    • 101
    • 2

  7. What is the value of sum from r = 1 to 4 of (2r + 1)?

    • 16
    • 24
    • 20
    • 28

  8. What is the value of sum from r = 1 to 10 of r?

    • 100
    • 55
    • 50
    • 45

  9. What is the value of sum from r = 1 to 3 of r^2?

    • 14
    • 36
    • 12
    • 9

  10. What does sum from r = 2 to 5 of r mean?

    • 2 x 3 x 4 x 5
    • 2 + 3 + 4
    • 2 + 3 + 4 + 5
    • 5 + 4 + 3 + 2 + 1

  11. What is the value of sum from r = 1 to n of 3?

    • n^2
    • 3
    • 3n
    • n

  12. Which term of the sequence u_n = n^2 - n equals 30?

    • 5
    • 30
    • 6
    • 7

  13. A sequence has u_1 = 1 and u_(n+1) = u_n + 2n. What is u_4?

    • 13
    • 11
    • 15
    • 9

  14. What is the value of sum from k = 1 to 5 of (k^2 - 1)?

    • 45
    • 50
    • 55
    • 60

  15. What is the value of sum from n = 1 to 4 of (-1)^n x n?

    • 2
    • 10
    • -2
    • 0

  16. A sequence has x_(n+1) = 0.5x_n + 3 with x_1 = 0. What value does the sequence approach?

    • -6
    • 3
    • 6
    • 0

  17. What is the value of sum from r = 1 to n of ((r + 1) - r)?

    • 1
    • 0
    • n + 1
    • n

  18. What is the value of sum from r = 1 to 4 of 2^r?

    • 16
    • 32
    • 15
    • 30

  19. Which expression in sigma notation represents the sum 1 + 4 + 9 + ... + 100?

    • sum_{k=1}^{10} 2^k
    • sum_{k=1}^{100} k^2
    • sum_{k=1}^{100} k
    • sum_{k=1}^{10} k^2

  20. A sequence has x_(n+1) = 3 - x_n with x_1 = 1. What is x_50?

    • 1
    • 2
    • 0
    • 3

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