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

Topic: Another funky proof
Replies: 14   Last Post: Mar 5, 1998 7:54 AM

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Gerry Myerson

Posts: 192
Registered: 12/8/04
Re: Another funky proof
Posted: Feb 25, 1998 5:10 PM
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In article <34F3BCB1.6A484E0E@rocketmail.com>, Peter_Ammon@rocketmail.com wrote:

=> Let S = 1 + 2 + 4 + 8 + 16 + 32....
=> Then 2S = 2 + 4 + 8 + 16 + 32 + 64.....
=> Thus, S = 2S + 1
=> S = -1
=> Thus, 1 + 2 + 4 + 8 + 16 + 32... converges to -1.

This is, of course, perfectly correct --- in the 2-adic metric.

Gerry Myerson (gerry@mpce.mq.edu.au)

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