Gujarati
8. Sequences and Series
easy

The sum of the series $5.05 + 1.212 + 0.29088 + ...\,\infty $ is

A

$6.93378$

B

$6.87342$

C

$6.74384$

D

$6.64474$

Solution

(d) Clearly it is a infinite $G.P.$ whose common ratio is $0.24.$

$\therefore {S_\infty } = \frac{a}{{1 – r}} $

$= \frac{{5.05}}{{1 – 0.24}} = 6.64474$.

Standard 11
Mathematics

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