Let S= 1^k +2^k +· · ·+n^k.
Show that S is divisible by 1+2+· · +n for any integer n and odd k.
(In reply to I do not wish to quibble, but...
by Dej Mar)
I honestly do not consider it "quibbling " and classify remarks like yours as productive and aimed at
improving the accuracy of the problems being posted However I would like to point out the following:
The right time to post your criticism is during the review period (open to Sch &Jm), since now there is no way to add/erase/edit the posted stuff anyway.
Addressing the issues raised by you:, I would have gladly added a small waiver like (k>0) , but deem it unnecessary for n, as no person would have considered negative values
in a ascending series defined explicitly as 1,2,3… …,n
I hope that the small omission still present does not prevent solving the problem correctly.
Edited on July 20, 2010, 4:27 am