Let Sn = 1 + q + q2 +…+ qn and \({{\rm{T}}_{\rm{n}}} = 1 + \left( {\frac{{{\rm{q}} + 1}}{2}} \right) + {\left( {\frac{{{\rm{q}} + 1}}{2}} \right)^2} + \ldots + {\left( {\frac{{{\rm{q}} + 1}}{2}} \right)^{\rm{n}}}\) where q is a real number and q ≠ 1. If 101C1 + 101C2S2 +…+ 101C101S100 = αT100, then α is equal to:

Let Sn = 1 + q + q2 +…+ qn and \({{\rm{T}}_{\rm{n}}} = 1 + \left( {\

1.	Let Sn = 1 + q + q2 +…+ qn and \({{\rm{T}}_{\rm{n}}} = 1 + \left( {\frac{{{\rm{q}} + 1}}{2}} \right) + {\left( {\frac{{{\rm{q}} + 1}}{2}} \right)^2} + \ldots + {\left( {\frac{{{\rm{q}} + 1}}{2}} \right)^{\rm{n}}}\) where q is a real number and q ≠ 1. If 101C1 + 101C2S2 +…+ 101C101S100 = αT100, then α is equal to:
A.	299
B.	202
C.	200
D.	2100
Answer» E.

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