A geometric progression has positive first term and common ratio

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

Problem

A geometric progression has positive first term

a

and common ratio

r>1

. If the sum of the first two terms is

10

and the sum of the reciprocals of these two terms is

\dfrac{5}{8}

, determine the value of

r

. (a)

\dfrac{3}{2}

(b)

4

(c)

\dfrac{17}{4}

(d)

\dfrac{1}{4}