HMMT November 2009 U23

Let $a_{0}, a_{1}, \ldots$ be a sequence such that $a_{0}=3, a_{1}=2$, and $a_{n+2}=a_{n+1}+a_{n}$ for all $n \geq 0$. Find

$$\sum_{n=0}^{8} \frac{a_{n}}{a_{n+1} a_{n+2}}$$