Determine whether the sum to infinity of the following G.P.s exist, if – InterviewSolution

1.

Determine whether the sum to infinity of the following G.P.s exist, if exists find them. 9, 8, 1, 1, 7.29,......

Answer»

9, 8.1, 7.29, …..

Here, a = 9, r = 8.1/9 = 0.9, |r| < 1

∴ Sum to infinity exists.

∴ Sum to infinity = \(\frac{a}{1-r}\)

= \(\frac9{1-0.9}\)

\(=\frac9{0.1}\)

= 90

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