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Summing 1/(n(n+2)) over all positive integers n gives
A3/4
B3/2
C1
D1/2
Answer & Solution
Correct answer: A. 3/4
1/(n(n+2)) = (1/2)(1/n - 1/(n+2)); the telescoping sum leaves (1/2)(1 + 1/2) = 3/4.
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