JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

Let

\mathrm{a}, \mathrm{ar}, \mathrm{ar}^2, \ldots \ldots

be an infinite G.P. If

\sum\limits_{n=0}^{\infty} a r^n=57

and

\sum\limits_{n=0}^{\infty} a^3 r^{3 n}=9747

, then

a+18 r

is equal to :

View answer and explanation

Correct option: D

Option D (31) is correct because it is the value of a + 18r after solving the given infinite geometric progression equations.

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\frac{3}{4}