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Class 11 Mathematics · Chapter 6 · Test 8

Sigma Notation and Series

40 MCQs Covers sigma notation, the sum formulas for k, k² and k³, and the n-term sums of the Exercise 6.10 series.

MCQs

40 questions · 35 min · 40 marks

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Sample questions

The first 5 of 40. Try each one, then tap to see the answer.

  1. Question 1

    The sum of the first n natural numbers, sum of k from k=1 to n, is equal to:

    • An(n+1)(2n+1)/6
    • Bn(n+1)/2
    • C[n(n+1)/2]^2
    • Dn^2
    Show answer

    Answer: B

    Standard formula: sum of k = n(n+1)/2.

  2. Question 2

    The sum of the squares of the first n natural numbers, sum of k^2, is equal to:

    • An(n+1)/2
    • B[n(n+1)/2]^2
    • Cn(n+1)(2n+1)/3
    • Dn(n+1)(2n+1)/6
    Show answer

    Answer: D

    Standard formula: sum of k^2 = n(n+1)(2n+1)/6.

  3. Question 3

    The sum of the cubes of the first n natural numbers, sum of k^3, is equal to:

    • A[n(n+1)/2]^2
    • Bn(n+1)(2n+1)/6
    • Cn^2(n+1)/2
    • Dn(n+1)/2
    Show answer

    Answer: A

    Standard formula: sum of k^3 = [n(n+1)/2]^2, the square of the sum of the first n natural numbers.

  4. Question 4

    The value of sum of 1 from k=1 to n is:

    • A0
    • B1
    • Cn
    • Dn(n+1)/2
    Show answer

    Answer: C

    Adding the constant 1 a total of n times gives n.

  5. Question 5

    If a is a constant, then sum of a from k=1 to n equals:

    • Aa
    • Bna
    • Ca^n
    • Dn+a
    Show answer

    Answer: B

    Adding the constant a a total of n times gives na.

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