Determine the exact value of the series .

MATHEMATICS · Single correct · A Level · Mathematics · Sequences and series · Sequences and series

Problem

Determine the exact value of the series

\displaystyle \sum_{n=1}^{\infty} \dfrac{3^{n}+6}{5^{n}}

. (a)

4

(b)

\dfrac{27}{10}

(c)

3

(d)

\dfrac{9}{5}