The infinite geometric series has a finite sum of

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

Problem

The infinite geometric series

3 + 6x + 12x^2 + 24x^3 + \cdots

has a finite sum of

12

. Determine the value of

x

. (a)

\dfrac{2}{5}

(b)

\dfrac{3}{4}

(c)

\dfrac{3}{8}

(d)

\dfrac{1}{3}