Let S_n(x)= _ a^ 1/2 x+ _ a^ 1/3 x+ _ a^ 1/6 x+ _ a^ 1/11 x+ _ a^ 1/18 x+ _ a^ 1/27 x+ up to n-terms, where a...

Question

Let S_n(x)= _ a^ 1/2 x+ _ a^ 1/3 x+ _ a^ 1/6 x+ _ a^ 1/11 x+ _ a^ 1/18 x+ _ a^ 1/27 x+ up to n-terms, where a > 1. If S_ 24 (x)=1093 and S_ 12 (2x)=265, then value of a is equal to ________.

Accepted Answer

16

JEE Main 2021 Mathematics question

Solution