Let S= 1^k +2^k +· · ·+n^k.
Show that S is divisible by 1+2+· · +n for any integer n and odd k.
S is not divisible by just any integer n and odd k. n and k should be positive.
Perhaps, do you mean
"Let S= 1^k +2^k +· · ·+n^k and let k be both odd and positive. Show that S is divisible by 1+2+· · +n for any positive integer n"?
Edited on July 19, 2010, 12:39 pm

Posted by Dej Mar
on 20100719 09:20:52 