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...

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 α is equal to:

Accepted Answer

(C)

JEE Main 2019 Mathematics question

Solution