$\large x_1=0, \ \ \text{and} \ \ x_{n+1}=x_n^2-i \ \ \text{ for} \ \ n>1$

Above is the sequence $x_1,x_2,x_3, \ldots$ of the complex numbers.. Find the square of the distance between $x_{2000}$ and $x_{1997}$ in the complex plane.

**Details and Assumptions:**

$i = \sqrt{-1}$ is the imaginary number.