SOLUTION: Find the following sum . (2) {{{ Sn=1/(1*3) + 1/(2*4) + 1/(3*5) +...}}}{{{1/n(n+2)}}}

SOLUTION: Find the following sum . (2) {{{ Sn=1/(13) + 1/(24) + 1/(3*5) +...}}}{{{1/n(n+2)}}}

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Question 1054643: Find the following sum .
(2)
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.
Notice that for the general term = .

Therefore, when you apply this formula to every term of your series, many (most !) fractions will be canceled.

Only few will survive. This is an idea.

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