Problem 2

Calculus Level 5

117+19115+117123+125= ? \large 1-\frac{1}{7}+\frac{1}{9}-\frac{1}{15}+\frac{1}{17} - \frac1{23} + \frac1{25} - \ldots = \ ?

Clarification: Both {1,9,17,25,}\{1,9,17,25,\ldots\} and {7,15,23,}\{7,15,23,\ldots\} are arithmetic progressions.

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