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For questions about defining recursive functions, recursive algorithms and solving recursive equations.
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Verify $\frac{a_{20}}{a_{20}+b_{20}}$ in Mathematica, May help me?
The solution of $\frac{a_{20}}{a_{20}+b_{20}}$ is $-39$ from the recursive system of equations :
\begin{cases}
a_{n+1}=-2a_n-4b_n \\
b_{n+1}=4a_n+6b_n\\
a_0=1,b_0=0
\end{cases}
This is taken from $ …