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Let bi gt 1 " for " i= 1,2 …., 101 .Supp...

Let `b_i gt 1 " for " i= 1,2 …., 101` .Suppose loge `b_1` loge `b_2` ….., loge `b_(101)` are in arihtmetic progression (A.P) with the common difference `log_e` 2. Suppose `a_1,a_2,…,a_(101)` are in A.P such that `a_1=b_1 and a_(51). If t= b_1+b_2+….+ b_51 " and " s=a_1+a_2+...+a_(51)` then

A

`s gt t and a_(101) gt b_(101)`

B

`s gt t and a_(101) lt b_(101)`

C

`s lt t and a_(101) gt b_(101)`

D

`s lt t and a_(101) lt b_(101)`

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The correct Answer is:
B
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