Using the principle of mathematical induction prove that for all \(...

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Using the principle of mathematical induction prove that for all \( n \in N \) :
\[
\frac{1}{3.6}+\frac{1}{6.9}+\frac{1}{9.12}+\ldots+\frac{1}{3 n(3 n+3)}=\frac{n}{9(n+1)}
\]
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