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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

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

B

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

C

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

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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