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Let lt an gt be an arithmetic sequence o...

Let `lt a_n gt `be an arithmetic sequence of 99 terms such that sum of its odd numbered terms is 1000 then the value of
`underset(r=1)overset(50)Sigma (-1)^((r(r+1))/2).a_(2r-1)` is _________.

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Let lt a_n gt be an arithmetic sequence of 99 terms such that sum of its odd numbered terms is 1000 then the value of Sigma_(r=1)^(50) (-1)^((r(r+1))/2).a_(2r-1) is _________.

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