POV-Ray : Newsgroups : povray.off-topic : 1+2+3+4+... = ? : Re: 1+2+3+4+... = ? Server Time
8 Jul 2024 09:02:41 EDT (-0400)
  Re: 1+2+3+4+... = ?  
From: Warp
Date: 30 Jul 2015 05:21:03
Message: <55b9ec7f@news.povray.org>
scott <sco### [at] scottcom> wrote:
> Maybe I'm a bit late to the party here, probably because I'm an Engineer 
> rather than a Mathematician, but this seemed a pretty crazy "proof" of 
> what you get if you sum all the natural numbers up:

>   s= 1+2+3+4+5+6+...

> 4s= 4+8+12+16+...

> (s-4s) = 1+2+3+4+5+ 6+...
>            -4  -8  -12-...
> -3s    = 1-2+3-4+5-6+...

> -3s-3s = 1-2+3-4+5-6+...
>            +1-2+3-4+5-6+...
> -6s    = 1-1+1-1+1-1+1-...

Which is equal to:

 -6s = (1-1)+(1-1)+(1-1)+...
     = 0+0+0+0+... = 0

 s = 0/-6 = 0

Therefore:

 1+2+3+4+5+6+... = 0

Crazy, huh?

-- 
                                                          - Warp


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