Let S(n) = (2+2) + (2^(2)+5) + (2^(3)+10...

Let `S_(n) = (2+2) + (2^(2)+5) + (2^(3)+10)+ (2^(4)+17)+ cdots ` up to n brackets . If `S_(n)= 2^(n+A) + Bn^(3) + Cn^(2)+ Dn+ E ` for all n `in ` N where A , B, C, D and E are constants then the value of `(ADE)/(BC) ` is

A

12

B

14

C

`-14`

D

`15`

Verified by Experts

The correct Answer is:

C

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