What is the formula for the summation of: 1 / n(n+1)
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What is the formula for the summation of: 1 / n(n+1)

[From: ] [author: ] [Date: 12-03-25] [Hit: ]
. r = 1, ... ,......
Thank youuu!

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... Σ [ 1 / (r(r+1)) ], ........... r = 1, ... ,n

= Σ [ (1/r) - (1/(r+1)) ]

= (1/1 - 1/2) + (1/2 - 1/3) + (1/3 - 1/4) + ... (1/n - 1/(n+1))

= (1/1 - 1/(n+1))

= n/(n+1) ........................................… Ans.
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