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Let T(n) and S(n) be the nth term and su...

Let `T_(n)` and `S_(n)` be the nth term and sum of first `n` tems of a series `4/(1.2.3)+5/2.34.+6/3.45.+…………` respectively. Then which of the following is/are correct

A

`T_(n)=1/((n+1)(n+2))+3/(n(n+1)(n+2))`

B

`S_(n)=5/4 - 1/(2(n+1)(n+2))(2n+5)`

C

`T_(4)=7/(4.5.6)`

D

`S_(4)=39/40`

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