The sum to 100 terms of the series 1...

The sum to 100 terms of the series
` 1.2.3. + 2.3.4. + 3.4.5. + …+ n(n + 1) (n+2) + ….`
is integral multiple of

A

n(n + 1)(n + 2)

B

(n + 1)(n + 2)(n + 3)

C

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

D

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

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The correct Answer is:

C

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