Find the term of the geometric progression

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

Problem

Find the

8^{\text{th}}

term of the geometric progression

5,\;\dfrac{15}{2},\;\dfrac{45}{4},\ldots

(a)

\dfrac{32805}{256}

(b)

\dfrac{2187}{128}

(c)

\dfrac{10935}{128}

(d)

\dfrac{10935}{256}