Question 23
The sequence $(x_n)_{n=1}^{\infty}$ is defined recursively by
$$x_{n+1}=\frac{x_n+(2-\sqrt3)}{1-x_n(2-\sqrt3)},\qquad x_1=1.$$
Determine $x_{1001}-x_{401}$.
$$x_{n+1}=\frac{x_n+(2-\sqrt3)}{1-x_n(2-\sqrt3)},\qquad x_1=1.$$
Determine $x_{1001}-x_{401}$.