The Fibonacci sequence you add the previous two terms to get the current terms:$$F_n=F_{n-1}+F_{n-2}$$In matrix form, the equation is as follows:$$\begin{bmatrix}F_n \\ F_{n-1}\end{bmatrix}=\begin{bmatrix}1 & 1 \\ 1 & 0\end{bmatrix}\begin{bmatrix}F_{n-1} \\ F_{n-2}\end{bmatrix}$$The eigenvalue of this system matrix is the golden ratio
[[Golden Ratio]]
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