The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: 1 + 2 + ... + n a polynomial how?
Replies: 5   Last Post: Apr 2, 2013 11:55 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
David Petry

Posts: 1,104
Registered: 12/8/04
Re: 1 + 2 + ... + n a polynomial how?
Posted: Apr 1, 2013 11:00 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On Monday, April 1, 2013 9:18:54 AM UTC-7, Jussi Piitulainen wrote:

> Is it obvious that 1 + 2 + ... + n is a polynomial of degree 2? How?
> I mean the sum of the first n positive integers. I would like to see
> that it is a polynomial of degree 2 _without using_ the fact that it
> is equal to n(n + 1)/2. Zeilberger (his new Opinion 129) says Gauss
> could have used the polynomiality of the sum to support the equality,
> rather than the other way around.

> Thanks for any insight.

You want insight? Here's insight: it was written on April 1.

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.