infinite sum

[nestor95]

how can I solve the sum from n=1 to infinite 1/n(n+1)(n+2) ?? I don't understand how to begin

thanks!

 

[Steven G]

Can you at least write out the first few terms and maybe something will come to your mind.

 

[pka]

how can I solve the sum from n=1 to infinite 1/n(n+1)(n+2) ?? I don't understand how to begin

This is the expression \(\displaystyle \sum\limits_{n = 1}^\infty {\dfrac{1}{{n(n + 1)(n + 2)}}} \). But you do not say what to be done with it! Do you?
Say we assume that it means for you to find the sum. But do we know that the sum exists?
If the series does not converge then it is pointless to continue.
If we know that it does converge then it in simple to find the sum: SEE HERE
This thread is a perfect example of how out-of-date tradition mathematical education is.
The essence of this question is about convergence and not about its sum.

 

[nestor95]

Thank you! I think I've got something!