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Sequences and series

Class 11 · Mathematics · 5 questions

Name: ____________________   Date: ____________

  1. The 10th term of the AP 3, 7, 11, ... is:

    • A 37
    • B 40
    • C 43
    • D 39

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

    • A 45
    • B 55
    • C 100
    • D 50

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

    • A 486
    • B 162
    • C 54
    • D 81

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

    • A 1
    • B 2
    • C 3
    • D Infinite

  5. The harmonic mean of 2 and 6 is:

    • A 4.5
    • B 3.5
    • C 3
    • D 4

Answer key

1. D, 2. B, 3. B, 4. B, 5. C

  1. a + 9d = 3 + 36 = 39.

  2. n(n + 1)/2 = 55.

  3. 2 x 3^4 = 162.

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

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