Question 55
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
$$
\sum_{n=0}^{8} \frac{a_{n}}{a_{n+1} a_{n+2}}
$$
$$
\sum_{n=0}^{8} \frac{a_{n}}{a_{n+1} a_{n+2}}
$$
MathNet 2009-part-05 — 172 problems (EN–VI) Question 55
Math Olympiad Vault · MathNet 2009-part-05 — 172 problems (EN–VI)