Let be a geometric progression with common ratio

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

Problem

Let (a,ar,ar2,… )(a, ar, ar^{2}, \dots) be a geometric progression with common ratio r≠0r \neq 0. What is the common ratio of the sequence (1a, 1ar, 1ar2, … )\left(\dfrac{1}{a},\,\dfrac{1}{ar},\,\dfrac{1}{ar^{2}},\,\dots\right)? (a) rr (b) −1r-\dfrac{1}{r} (c) 1r\dfrac{1}{r} (d) 1r2\dfrac{1}{r^{2}}

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