Calculate the sum of the series .

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

Problem

Calculate the sum of the series

\displaystyle\sum_{n=0}^{\infty} 9\left(\dfrac{3}{10}\right)^{n}

. (a)

6.3

(b)

\dfrac{27}{7}

(c)

\dfrac{90}{7}

(d)

\dfrac{90}{13}