Determine the value of the convergent series .

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

Problem

Determine the value of the convergent series

\displaystyle \sum_{n=0}^{\infty} 5\left(\dfrac23\right)^{n+1}

. (a)

15

(b)

10

(c)

\dfrac{20}{3}

(d)

\dfrac{25}{3}