Use mathematical induction to prove the statement is true for all positive integers n.
-$$5 \cdot 7 + 6 \cdot 8 + 7 \cdot 9 + \ldots + 5 n ( 5 n + 2 ) = \frac { 5 n ( 5 n + 1 ) ( 10 n + 7 ) } { 6 }$$

Question

Quizplus · Accepted Answer

The Answer of Use mathematical induction to prove the statement is true for all positive integers n.
-$$5 \cdot 7 + 6 \cdot 8 + 7 \cdot 9 + \ldots + 5 n ( 5 n + 2 ) = \frac { 5 n ( 5 n + 1 ) ( 10 n + 7 ) } { 6 }$$

Use Mathematical Induction to Prove the Statement Is True for All