Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.
-$$1 \cdot 2 + 2 \cdot 3 + 3 \cdot 4 + \ldots + n ( n + 1 ) = \frac { n ( n + 1 ) ( n + 2 ) } { 3 }$$

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The Answer of Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.
-$$1 \cdot 2 + 2 \cdot 3 + 3 \cdot 4 + \ldots + n ( n + 1 ) = \frac { n ( n + 1 ) ( n + 2 ) } { 3 }$$

Use the Principle of Mathematical Induction to Show That the Statement