Failed to connect to MySQL: Access denied for user 'examnext_online'@'localhost' (using password: YES) If S is the sume of infinity of a decreasing G.P. with the common ratio x such that |x| < 1; x `!=` 0. The ratio fo the fourth term to the secnod term is `1/16` and the ratio fo the thrid term to the square of the second term is `1/9`, Then the value of S is – - Sarthaks eConnect
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Practice Online Test Series for JEE Main 2018 & NEET 2018

If S is the sume of infinity of a decreasing G.P. with the common ratio x such that |x| < 1; x `!=` 0. The ratio fo the fourth term to the secnod term is `1/16` and the ratio fo the thrid term to the square of the second term is `1/9`, Then the value of S is :–

A.

8

B.

12

C.

16

D.

20

Solution

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Let the sereies be `a, ax, ax^2 , ax^3` , .... given that |x| < 1 and x `!=` 0.