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Question 210042
JEE Mathematics · Medium

Sequences and Series: GP MCQ

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GPMediumQuestion 210042

Question

The sum of a GP with first term 1 and common ratio −1/2 to infinity is:
  1. A
    1/2
  2. B
    2/3
    Correct
  3. C
    3/2
  4. D
    2

Correct answer

2/3

Explanation

S∞ = a/(1−r) = 1/(1−(−1/2)) = 1/(3/2) = 2/3.

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