Question 11
Let $m$ be a positive integer, and let $a_0,$ $a_1,$ $\ldots,$ $a_m$ be a sequence of real numbers such that $a_0 = 37,$ $a_1 = 72,$ $a_m = 0,$ and $$
a_{k+1} = a_{k-1} - \frac{3}{a_k}
$$ for $k = 1,$ $2,$ $\ldots,$ $m - 1.$ Find $m.$
a_{k+1} = a_{k-1} - \frac{3}{a_k}
$$ for $k = 1,$ $2,$ $\ldots,$ $m - 1.$ Find $m.$