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Geometric Progression

If the first ...

Question

If the first term and common ratio is $5$ , find the sum of first 8 terms of G.P.

A

188280

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B

288280

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C

388280

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D

488280

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Solution

The correct option is A $488280$
Given, first term $, a = 5$ , common ratio $, r = 5$ , $n = 8$
We know $S_{n} = \frac{a_{1} (r^{n} - 1)}{r - 1}$
$S_{8} = \frac{5 ((5)^{8} - 1)}{(5) - 1}$
$= \frac{5 ((5)^{8} - 1)}{4}$
$= 488280$

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