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Math Help - Recursive function

  1. #1
    Junior Member
    Joined
    Jan 2009
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    Recursive function

    I'm unsure where to post this, so sorry if it's in the wrong place.

    How can I find an equation for the following function?

    f(x)=f(x-1)*(g \circ f(x-1))^n -m(h \circ f(x-1))

    Knowing that f(0) = 10^4 and that g(f(t)) and r(f(t)) are linear functions in the form a*f(t) + b.

    I've tried taking f(0) to evaluate f(1) and then f(2), f(3), etc, to try to see a pattern for f(x), but the only thing I've got so far was:

    f(x)=10^4*\prod_{i=0}^{x-1} (g \circ f(i)^n)-m\sum_{j=0}^{x-2}(r\circ f(j)*\prod_{k=j+1}^{x-1}[g \circ f(k)^n])-m(r\circ f(x-1))

    Which is not a desired expression for the function.

    Thanks.
    Last edited by Referos; May 20th 2009 at 03:01 PM. Reason: fixed typo
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