SOLUTION: 1/2+1/6+1/12+1/20+1/30...1/n(n+1)

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Question 390915: 1/2+1/6+1/12+1/20+1/30...1/n(n+1)
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F2%2B1%2F6%2B1%2F12%2B1%2F20%2B1%2F30+...+1%2F%28%28n-1%29n%29+%2B+1%2F%28n%28n%2B1%29%29
=+...+%281%2F%28n-1%29+-+1%2Fn%29+%2B+%281%2Fn+-+1%2F%28n%2B1%29%29
=1+-++1%2F%28n%2B1%29 because of "telescoping" property.