Let Sn=1+q+q^2 +?+q^n and Tn =1+((q+1)/2...

Let `S_n=1+q+q^2 +?+q^n` and `T_n =1+((q+1)/2)+((q+1)/2)^2+?+((q+1)/2)^n` If `alpha T_100=^101C_1 +^101C_2 xS_1 +^101C_101 xS_100,` then the value of `alpha` is equal to (A) `2^99` (B) `2^101` (C) `2^100` (D) `-2^100`

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