Recursion question

*To*: mathgroup at smc.vnet.net*Subject*: [mg55498] Recursion question*From*: rbedient at hamilton.edu*Date*: Sat, 26 Mar 2005 02:39:30 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

I have a set of single step recursion equations that I want to simplify into a single multi-step equation. Here's what it looks like: a[n]=4*a[n-1]*(1-a[n-1]) b[n]=4*b[n-1]*(1-b[n-1]) c[n]=(a[n]+b[n])/2 a[1]=.1 <-arbitrary starting value b[1]=.8 <-arbitrary starting value What I'm hoping for is something like: c[n]=some function of c[n-1], c[n-2]... I've tried various combinations of Solve, RSolve, Simplify etc. to no avail. Any help would be appreciated. Fairly Newbie Dick

**Follow-Ups**:**Re: Recursion question***From:*DrBob <drbob@bigfoot.com>

**Re: Recursion question***From:*Daniel Lichtblau <danl@wolfram.com>