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A sequence of integers a1+a2+......+an ...

A sequence of integers `a_1+a_2+......+a_n` satisfies `a_(n+2)=a_(n+1)-a_n ` for ` ngeq1` . Suppose the sum of first 999 terms is 1003 and the sum of the first 1003 terms is -99. Find the sum of the first 2002 terms.

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A sequence of integers a_1+a_2++a_n satisfies a_(n+2)=a_(n+1)-a_nforngeq1 . Suppose the sum of first 999 terms is 1003 and the sum of the first 1003 terms is -99. Find the sum of the first 2002 terms.

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