- 352

- 0

## Main Question or Discussion Point

Hi all. I am stuck on this problem:

Prove that [tex]\sum^{\infty}_{n=1}\frac{n}{(n+1)(n+2)(n+3)}=1/4[/tex].

I am totally stuck on this! I tried breaking it up into partial fractions, which worked on some other problems in this section because it showed how to express them as telescoping series, but in this case that technique provided no new insight. I'm stuck.

Prove that [tex]\sum^{\infty}_{n=1}\frac{n}{(n+1)(n+2)(n+3)}=1/4[/tex].

I am totally stuck on this! I tried breaking it up into partial fractions, which worked on some other problems in this section because it showed how to express them as telescoping series, but in this case that technique provided no new insight. I'm stuck.