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Sequences and Series question

2016 · Shift 2 · Q33

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JEE Advanced
Mathematics
Sequences and Series
2016 · Shift 2 · Q33

Sequences and Series question

2016 · Shift 2 · Q33

JEE AdvancedMathematicsSequences and SeriesMCQ+3 / −1

Let bi > 1 for I = 1, 2, ......, 101. Suppose logeb1, logeb2, ......., logeb101 are in Arithmetic Progression (A.P.) with the common difference loge2. Suppose a1, a2, ......, a101 are in A.P. such that a1 = b1 and a51 = b51. If t = b1 + b2 + .... + b51 and s = a1 + a2 + ..... + a51, then

A
s > t and a101 > b101
B
s > t and a101 101
C
s 101 > b101
D
s 101 101

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