Using the principle of mathematical induction prove that for all \(... VIDEO
Using the principle of mathematical induction prove that for all \( n \in N \) :
\[
1.2+2.2^{2}+3.2^{3}+\ldots+n \cdot 2^{n}=(n-1) \cdot 2^{n+1}+2 .
\]
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