Let S_n=1+q+q^2+ +q^n and T_n=1+ ( q+1 2 )+ ( q+1 2 )^2+ + ( q+1 2 )^n where q is a real number and q 1. If ^...

Question

Let S_n=1+q+q^2+ +q^n and T_n=1+ ( q+1 2 )+ ( q+1 2 )^2+ + ( q+1 2 )^n where q is a real number and q 1. If ^ 101 C_1+ ^ 101 C_2 S_1+ + ^ 101 C_ 101 S_ 100 = T_ 100 , then is

Accepted Answer

(D)

JEE Main Mathematics question

Solution

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