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Let b(i)gt1" for "i=1,2,"......",101. Su...

Let `b_(i)gt1" for "i=1,2,"......",101`. Suppose `log_(e)b_(1),log_(e)b_(2),log_(e)b_(3),"........"log_(e)b_(101)` are in Arithmetic Progression (AP) with the common difference `log_(e)2` . Suppose `a_(1),a_(2),a_(3),"........"a_(101)` are in AP. Such that, `a_(1)=b_(1)` and `a_(51)=b_(51)`. If `t=b_(1)+b_(2)+"........."+b_(51)" and " s=a_(1)+a_(2)+"........."+a_(51)`, then

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