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Recursion question


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


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