Terms of a Sequence
Source:
December 28, 2006
Problem Statement
Given that
\begin{align*}
x_{1}&=211,\\
x_{2}&=375,\\
x_{3}&=420,\\
x_{4}&=523, \text{ and}\\
x_{n}&=x_{n-1}-x_{n-2}+x_{n-3}-x_{n-4} \text{ when } n \geq 5,
\end{align*}find the value of .