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# help

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What is the sum of the 2009 fractions of the form $$\frac{2}{n(n+2)}$$ if the values of $$n$$ are the positive integers from 1 through 2009? Express your answer as a decimal to the nearest thousandth.

Mar 1, 2019

#1
+100549
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sum ≈  1.499999.....    =   1.5

Mar 1, 2019