MathDB

9

Part of 1995 Baltic Way

Problems(1)

Prove sum

Source: Baltic Way 1995

10/8/2011
Prove that 19952−19943+19934−…−21995+11996=1999+31000+…+19951996\frac{1995}{2}-\frac{1994}{3}+\frac{1993}{4}-\ldots -\frac{2}{1995}+\frac{1}{1996}=\frac{1}{999}+\frac{3}{1000}+\ldots +\frac{1995}{1996}
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