Use Mathematical Induction to Prove the Following $$1 \cdot 3 + 2 \cdot 4 + 3 \cdot 5 + \ldots + n ( n + 2 ) = \frac { n ( n + 1 ) ( 2 n + 7 ) } { 6 }$$

question 88

Essay

Use mathematical induction to prove the following.
- $$1 \cdot 3 + 2 \cdot 4 + 3 \cdot 5 + \ldots + n ( n + 2 ) = \frac { n ( n + 1 ) ( 2 n + 7 ) } { 6 }$$

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