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Text File  |  1992-12-16  |  1.0 KB  |  24 lines
  1. Newsgroups: sci.math
  2. Path: sparky!uunet!stanford.edu!CSD-NewsHost.Stanford.EDU!Sunburn.Stanford.EDU!pratt
  3. From: pratt@Sunburn.Stanford.EDU (Vaughan R. Pratt)
  4. Subject: Re: Pi in beatiful form --lost
  5. Message-ID: <1992Dec16.215434.25457@CSD-NewsHost.Stanford.EDU>
  6. Sender: news@CSD-NewsHost.Stanford.EDU
  7. Organization: Computer Science Department,  Stanford University.
  8. References: <BzBt9q.2HM@unccsun.uncc.edu> <1gmvieINN7al@aludra.usc.edu> <1992Dec16.144508.19371@nntpd.lkg.dec.com>
  9. Date: Wed, 16 Dec 1992 21:54:34 GMT
  10. Lines: 12
  11.  
  12. In article <1992Dec16.144508.19371@nntpd.lkg.dec.com> edp@math.zk3.dec.com (Eric Postpischil) writes:
  13. >In article <1gmvieINN7al@aludra.usc.edu>, rmurphy@aludra.usc.edu (Bob
  14. >Murphy) writes:
  15. >
  16. >>(pi - 3)/4 = 1/(2*3*4) + 1/(4*5*6) + 1/(6*7*8) + ...
  17. >
  18. >The first term is 1/24, which is already greater than (pi-3)/4.  Should
  19. >that have been an alternating series?
  20.  
  21. Yep.  As an alternating series the first 14 terms sum to 1/4 of 0.14151898.
  22. -- 
  23. Vaughan Pratt               Interactive Proofs = Polynomial Space
  24.