In an infinite geometric series

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

Problem

In an infinite geometric series, the first term equals twice the common ratio. If the series converges to

18

, what is the common ratio? (a)

\dfrac{18}{19}

(b)

\dfrac{9}{20}

(c)

\dfrac{9}{10}

(d)

\dfrac{10}{9}