Word Count : 165

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We are given the identity: $$ \sum_{i=1}^{n}\frac{1}{i(i+1)} = \frac{n}{n+1} $$ We are to prove this by mathematical induction. --- ### Step 1: Base Case (n = 1) LHS: $$ \sum_{i=1}^{1} \frac{1}{i(i+1)} = \frac{1}{1(1+1)} ____ _________ ____ _______ ____ _____ ________ _________ _________ _________.
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