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Question 210017
JEE Mathematics · Medium

Sequences and Series: Infinite GP MCQ

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Infinite GPMediumQuestion 210017

Question

The sum of the infinite GP 1 + 1/3 + 1/9 + ... is:
  1. A
    3/2
    Correct
  2. B
    2/3
  3. C
    3
  4. D
    1/2

Correct answer

3/2

Explanation

S∞ = a/(1−r) = 1/(1 − 1/3) = 1/(2/3) = 3/2. Valid since |r| = 1/3 < 1.

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