Prove the following by the principle of mathematical induction: `1/(1. 4)+1/(4. 7)+1/(7. 10)++1/((3n-2)(3n+1))=n/(3n+1)`

Explanation

To prove the statement

\[ \frac{1}{(1)(4)} + \frac{1}{(4)(7)} + \frac{1}{(7)(10)} + \ldots + \frac{1}{((3n-2)(3n+1))} = \frac{n}{(3n+1)} \]

by the principle of mathematical induction, we will follow these steps:

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