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Prove the following by using the princip...

Prove the following by using the principle of mathematical induction for all `n in N`:`1/(1. 2. 3)+1/(2. 3. 4)+1/(3. 4. 5)+dotdotdot+1/(n(n+1)(n+2))=(n(n+3))/(4(n+1)(n+2))`

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