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)

 

Hi

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

Posted by Ady TZIDON on 2010-07-20 04:23:26