Find the sum to infinity of the geometric progression .

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

Problem

Find the sum to infinity of the geometric progression

\dfrac{3}{4}+\dfrac{3}{8}+\dfrac{3}{16}+\dots

. (a)

\dfrac{3}{4}

(b)

\dfrac{6}{5}

(c)

\dfrac{3}{2}

(d)

\dfrac{9}{8}