Continued Matrices

Algebra Level 4

If [1110]k=[akbkckdk],\begin{bmatrix} 1 & 1\\ 1 & 0 \end{bmatrix} ^ k = \begin{bmatrix} a_{k} & b_{k}\\ c_{k} & d_{k} \end{bmatrix}, find the closed form of limkakck\displaystyle \lim_{k\to \infty} \frac{a_{k}}{c_{k}} to 3 decimal places.

×

Problem Loading...

Note Loading...

Set Loading...