Using the principle of mathematical induction , prove that for `n in N , (1)/(n+1) + (1)/(n+2) + (1)/(n+3) + "……." + (1)/(3n+1) gt 1`.

Explanation

To prove that for \( n \in \mathbb{N} \),

\[ \frac{1}{n+1} + \frac{1}{n+2} + \frac{1}{n+3} + \ldots + \frac{1}{3n+1} > 1 \]

we will use the principle of mathematical induction.

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