1 / 1 2 + 1 / 2 3 + ... + 1 / n(n...

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1 / 1 ∙ 2 + 1 / 2 ∙ 3 + ... + 1 / n(n + 1) = n / n + 1
Prove the given statement by induction for all n ≥ 1.
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