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Sequences and series

5 Class 11 Mathematics questions with answers and explanations.

Printable worksheet with answer key

All questions with answers
  1. The 10th term of the AP 3, 7, 11, ... is:

    • 1 37
    • 2 40
    • 3 43
    • 4 39
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    Correct answer: 39

    a + 9d = 3 + 36 = 39.

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  2. The sum of the first 10 natural numbers is:

    • 1 45
    • 2 55
    • 3 100
    • 4 50
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    Correct answer: 55

    n(n + 1)/2 = 55.

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  3. The 5th term of the GP 2, 6, 18, ... is:

    • 1 486
    • 2 162
    • 3 54
    • 4 81
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    Correct answer: 162

    2 x 3^4 = 162.

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  4. The sum to infinity of the GP 1 + 1/2 + 1/4 + ... is:

    • 1 1
    • 2 2
    • 3 3
    • 4 Infinite
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    Correct answer: 2

    S = a / (1 - r) = 1 / (1/2) = 2.

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  5. The harmonic mean of 2 and 6 is:

    • 1 4.5
    • 2 3.5
    • 3 3
    • 4 4
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    Correct answer: 3

    HM = 2ab / (a + b) = 24 / 8 = 3.

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