MathematicsHard64×since 2002Q2983Let S_n = 1 + q + q² + . . . . . + q^n and T_n = 1 + (q+12)+(q+12)2\left( {{{q + 1} \over 2}} \right) + {\left( {{{q + 1} \over 2}} \right)^2}(2q+1)+(2q+1)2 + . . . . . .+ (q+12)n{\left( {{{q + 1} \over 2}} \right)^n}(2q+1)n where q is a real number and q ≠\ne= 1. If ¹⁰¹C₁ + ¹⁰¹C₂ . S₁ + .... + ¹⁰¹C₁₀₁ . S₁₀₀ = α\alphaαT₁₀₀ then α\alphaα is equal toA202B200C2¹⁰⁰D2⁹⁹Check answerSkip