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From: krs@amdahl.UUCP (Kris Stephens)
Newsgroups: net.puzzle
Subject: Re: Derivative of x! and actual interviews
Message-ID: <1392@amdahl.UUCP>
Date: Thu, 11-Apr-85 17:09:26 EST
Article-I.D.: amdahl.1392
Posted: Thu Apr 11 17:09:26 1985
Date-Received: Sun, 14-Apr-85 02:01:19 EST
References: <1337@decwrl.UUCP>, <383@cavell.UUCP> <441@hou2g.UUCP>, <9746@brl-tgr.ARPA> <1587@ukma.UUCP>
Organization: Amdahl Corporation, Sunnyvale CA
Lines: 32

> > 
> > 	What is the next number in the series
> > 		2, 3, 5, 7, ...
> > 
> 	I sure hope that the next number is 11. Primes, right?
> (Boy will I feel dumb if this isn't the right answer.)
> 

The next number is 9.  { Like other famous series, the first two are only
                         there to initialize the series.  After that, add
                         2 to each previous entry. }

The next entry is 10.  { f(n) = f(n-1) + f(n-2) - (n-3) }
  (6th entry is 24.)

The next entry is 10.  { f(n) = f(n-1) + f(n-3) }
  (6th entry is 15.)

The next entry is 10.  { Series starts at 2.  For i starting at 1, create
                         i additional entries by adding i to the previous
                         entry. Series is:
    2  3  5  7  10  13  16  20  24  28  32  37  42  47  52  57  ...
     +1 +2 +2 +3  +3  +3  +4  +4  +4  +4  +5  +5  +5  +5  +5  +6 ...
     1x   2x      3x            4x                5x              ... }

So, I vote for 10, in that I've found three times as many ways to support
it as the 5th element in the series than any other number.

-- 
Kris Stephens     (408-746-6047)                 {whatever}!amdahl!krs
     [The opinions expressed above are mine, solely, and do not    ]
     [necessarily reflect the opinions or policies of Amdahl Corp. ]