Method of differences

Method of differences Quiz

Spec 4.4 · Edexcel A-Level Further Maths: Quiz

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  1. 1. Which expression equals 1r(r+2)\frac1{r(r+2)}?

    • A. 1r−1r+2\frac1r-\frac1{r+2}
    • B. 12(1r−1r+2)\frac12\left(\frac1r-\frac1{r+2}\right)
    • C. 12(1r+1r+2)\frac12\left(\frac1r+\frac1{r+2}\right)
    • D. 2(1r−1r+2)2\left(\frac1r-\frac1{r+2}\right)

  2. 2. Find ∑r=1n(1r−1r+1)\sum_{r=1}^{n}\left(\frac1r-\frac1{r+1}\right).

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

  3. 3. Find ∑r=1∞1r(r+1)\sum_{r=1}^{\infty}\frac1{r(r+1)}.

    • A. 11
    • B. 12\frac12
    • C. 22
    • D. The series diverges

  4. 4. Find ∑r=110(1r−1r+2)\sum_{r=1}^{10}\left(\frac1r-\frac1{r+2}\right).

    • A. 32\frac32
    • B. 1−1121-\frac1{12}
    • C. 175132\frac{175}{132}
    • D. 131132\frac{131}{132}

  5. 5. Find ∑r=1n[(r+1)2−r2]\sum_{r=1}^{n}\left[(r+1)^2-r^2\right].

    • A. n2n^2
    • B. n2+2nn^2+2n
    • C. n2+2n+1n^2+2n+1
    • D. 2n+12n+1

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