Consider the series 1/2 + 1/4 + 1/8 + 1/16 + ... The sum of the infinite series above is: A. infinity B. 1 C. 1/4 D. 0

GATE 2010 · General Aptitude · Number Series · medium

Answer: 1

1. Identify first term and common ratio: a = 1/2 (first term). r = (1/4)/(1/2) = 1/2 (common ratio). Since |1/2| < 1, the series converges.
2. Apply the infinite sum formula: S = a/(1-r) = (1/2)/(1/2) = 1. The answer is B. 1.