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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