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Using the principle of mathematical ind...

Using the principle of mathematical induction, prove that
` 1/(1*2)+1/(2*3)+1/(3*4)+…+1/(n(n+1)) = n/((n+1)) `.

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To prove the statement \[ 1/(1 \cdot 2) + 1/(2 \cdot 3) + 1/(3 \cdot 4) + \ldots + 1/(n(n+1)) = \frac{n}{n+1} \] using the principle of mathematical induction, we will follow these steps: ...
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