Sums of series

Sums of series Quiz

Spec 4.3 · Edexcel A-Level Further Maths: Quiz

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5 questions, one answer each

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  1. 1. Find ∑r=1n(2r+3)\sum_{r=1}^{n}(2r+3).

    • A. n2+3nn^2+3n
    • B. n2+4nn^2+4n
    • C. 2n2+3n2n^2+3n
    • D. n2+n+3n^2+n+3
  2. 2. Find ∑r=18r3\sum_{r=1}^{8}r^3.

    • A. 204204
    • B. 10241024
    • C. 11521152
    • D. 12961296
  3. 3. Find ∑r=1nr(r−1)\sum_{r=1}^{n}r(r-1).

    • A. 13n(n−1)(n+1)\frac13n(n-1)(n+1)
    • B. 16n(n+1)(2n+1)\frac16n(n+1)(2n+1)
    • C. 14n2(n+1)2\frac14n^2(n+1)^2
    • D. 13n(n+1)(n+2)\frac13n(n+1)(n+2)
  4. 4. Find ∑r=510r2\sum_{r=5}^{10}r^2.

    • A. 385385
    • B. 330330
    • C. 355355
    • D. 325325
  5. 5. Find the sum of the squares of the first 12 even positive integers.

    • A. 650650
    • B. 26002600
    • C. 13001300
    • D. 1040010400

Quiz