Question 110
Let $a_{1}, a_{2}, \ldots$ be a sequence of real numbers less than $1$ and such that $a_{n+1}(a_{n}+2)=3$, $n \geq 1$. Prove that:
a) $-\frac{7}{2}\lt a_{n}\lt -2$
б) $a_{n}=-3$ for any $n$.
a) $-\frac{7}{2}\lt a_{n}\lt -2$
б) $a_{n}=-3$ for any $n$.