Using the principle of mathematical induction prove that for all \(...
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Using the principle of mathematical induction prove that for all \( n \in N \) :
\[
1+3+3^{2}+\ldots \text { to } n \text { terms }=\frac{3^{n}-1}{2} \text {. }
\]
\( \mathrm{P} \)
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