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MathGroup Archive 1998

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Re: iterative function query



that is what Nest[ ] is for :
Nest[45+0.97 #&,45,5]
or 
tax[x_]:=45+ 97/100 x
Nest[tax,45,4] or Nest[tax,0,5] should do.

>so that the following is generated:
>
>45 + 0.97(45+0.97(45+0.97(45+0.97(45))))
 ---1-----                              -
           --2----                     -
                   ---3---            -
                          ----4----  -
                                   --

check the help-file for NestList and FixedPoint.

wouter.

At 16:54 20.01.98 -0500, you wrote:
>Content-Type: text/plain; charset="us-ascii" (text) Content-Description:
>text
>
>Can someone explain the best way to code:
>
>starting at x=1 and going to x=5;
>taxes[x_]:= 45 + 0.97(taxes[x+1])/; 
>
>so that the following is generated:
>
>45 + 0.97(45+0.97(45+0.97(45+0.97(45))))
>
>Thanks,
>
>Eric Walters
>ewalters@bio.fsu.edu</HTML>
>Content-Type: text/html; charset="us-ascii" From: Eric Walters
To: mathgroup@smc.vnet.net
><ewalters@bio.fsu.edu> To: mathgroup@smc.vnet.net
>Subject: [mg10615] [mg10579] iterative function query
>Organization: Florida State University Mime-Version: 1.0
>Content-Length: 280
>
><HTML>
>Can someone explain the best way to code:
>
><P>starting at x=1 and going to x=5; <BR>taxes[x_]:= 45 +
>0.97(taxes[x+1])/;&nbsp;
>
><P>so that the following is generated:
>
><P>45 + 0.97(45+0.97(45+0.97(45+0.97(45))))
>
><P>Thanks,
>
><P>Eric Walters
><BR>ewalters@bio.fsu.edu</HTML>
>

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