The sum of the series upto infinite terms is equal to :

MATHEMATICS · Single correct · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

The sum of the series

1 + \frac{2}{3} + \frac{1}{3^2} + \frac{2}{3^3} + \frac{1}{3^4} + \frac{2}{3^5} + \frac{1}{3^6} + \frac{2}{3^7} + \dots

upto infinite terms is equal to : (a)

\frac{15}{8}

(b)

\frac{8}{15}

(c)

\frac{27}{8}

(d)

\frac{21}{8}