📐 Mathematics · Sequences and Series · JEE

The sum to infinity of 1 + 1/3 + 1/9 + ... is:

Answer: 3/2.

Correct answer: B. 3/2

Explanation: a = 1, r = 1/3. S = a/(1-r) = 1/(2/3) = 3/2.

Bar heights for AP 2, 5, 8, 11 with the common difference d=3 marked between consecutive terms.

Concept context

Arithmetic progressions, geometric progressions, and sums