- #1
wimma
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- 0
Homework Statement
Solve the recursive function:
A_{n+1} = (8/9)A_{n} + (24/9)*(20/9)^n
We want a closed formula for A_n
Homework Equations
I'm just doing this to work out the surface area of the Menger Sponge.
I know the formula's probably out there, but I get this recursive formula and I don't know how to solve it.
The Attempt at a Solution
I tried getting it in terms of A_{0}, which is 6, but I couldn't seem to simplify it... please help?!