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![Use mathematical induction to prove that
\[
2.2 !+3.3 !+\ldots+n \cdot n !=(n+1) !-2
\]](https://media.cheggcdn.com/study/9ee/9eec4630-9819-4e4d-b89a-0fdbf10e6961/image)
Expert Answer
required to prove is 2.2!+3.3!+...+n.n!=(n+1)!-2, ?n?2 we prove this result by using mathematical induction now for n=2 lhs=2.2!=4 rhs=(2+1)!-2=3!-2=6