Summation of series

Summation of series Quiz

Spec D3 · AQA A-Level Further Maths: Quiz

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5 questions, one answer each

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  1. 1. What is ∑r=16r2\sum_{r=1}^{6}r^2?

    • A. 2121
    • B. 441441
    • C. 9191
    • D. 3636

  2. 2. What is ∑r=1n(2r−1)\sum_{r=1}^{n}(2r-1)?

    • A. n2n^2
    • B. n(n+1)n(n+1)
    • C. n2+1n^2+1
    • D. 2n22n^2

  3. 3. What is ∑r=510r\sum_{r=5}^{10}r?

    • A. 5555
    • B. 4545
    • C. 5050
    • D. 4040

  4. 4. What is ∑r=1n[f(r+1)−f(r)]\sum_{r=1}^{n}\left[f(r+1)-f(r)\right]?

    • A. f(n)−f(1)f(n)-f(1)
    • B. f(n+1)−f(0)f(n+1)-f(0)
    • C. f(n+1)−f(1)f(n+1)-f(1)
    • D. f(n)−f(0)f(n)-f(0)

  5. 5. What is ∑r=1n(1r−1r+1)\sum_{r=1}^{n}\left(\frac1r-\frac1{r+1}\right)?

    • A. 1n+1\frac1{n+1}
    • B. 1−1n1-\frac1n
    • C. 1n−1n+1\frac1n-\frac1{n+1}
    • D. 1−1n+11-\frac1{n+1}

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