Evaluate the series S = _ n=0 ^ 7 10^ 2n+1 and express as a fraction in lowest terms.

MATHEMATICS · Subjective · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

Evaluate the series

S = \sum_{n=0}^{\infty} \frac{7}{10^{2n+1}}

and express

S

as a fraction in lowest terms.