1985 AIME Problem 5

A sequence of integers a_{1}, a_{2}, a_{3}, \ldots is chosen so that a_{n}=a_{n-1}-a_{n-2} for each n \geq 3. What is the sum of the first 2001 terms of this sequence if the sum of the first 1492 terms is 1985 , and the sum of the first 1985 terms is 1492 ?