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Let T(n) be n^(th) term of a sequence fo...

Let `T_(n)` be `n^(th)` term of a sequence for `n=1,2,3,4,…….` If `3T_(n+1)=T_(n)` and `T_(4)=(1)/(81)`, then the value of `sum""_(n=1)^(oo)((T_(n).T_(n+1))/(T_(n+2)))` is equal to

A

`(1)/(2)`

B

1

C

`(3)/(2)`

D

0

Text Solution

Verified by Experts

The correct Answer is:
C
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