Question 64
The sequence $t_1,t_2,t_3,\ldots$ is defined by
$$\begin{cases}t_1=2,\\t_{n+1}=\dfrac{t_n-1}{t_n+1}\end{cases}$$
for every positive integer $n$. Find $t_{2011}$.
$$\begin{cases}t_1=2,\\t_{n+1}=\dfrac{t_n-1}{t_n+1}\end{cases}$$
for every positive integer $n$. Find $t_{2011}$.