can you tell me how to calculate the sum of series : 1/(n*(n+1)*(n+2)) ?

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- December 10th 2012, 10:01 AMnitin1summation of series
can you tell me how to calculate the sum of series : 1/(n*(n+1)*(n+2)) ?

- December 10th 2012, 10:09 AMPlatoRe: summation of series
- December 10th 2012, 10:12 AMnitin1Re: summation of series
no.. not till infinity... it's upto only n.. like from 1 to 3 or 1 to 4 or say 1 to n... and the question is summation of 1/(n*(n+1)*(n+2)) .. this is nth term of the series...

- December 10th 2012, 10:32 AMPlatoRe: summation of series
- December 10th 2012, 10:45 AMnitin1Re: summation of series
i have got this result from someone...

S(n)= 1/4 - 1/(2*(n+2)*(n+1))...

it is correct even! can you tell me the steps taken so as to achieve this result ? please! thanks.