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The value of the sum 1.2.3+2.3.4+3.4.5...

The value of the sum 1.2.3+2.3.4+3.4.5+… upto n terms is equal to

A

`(1)/(6)n^(2)(2n^(2)+1)`

B

`(1)/(6)(n^(2)-1)(2n-1)(2n+3)`

C

`(1)/(8)(n^(2)+1)(n^(2)+5)`

D

`(1)/(4)n(n+1)(n+2)(n+3)`

Text Solution

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The correct Answer is:
D
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