Use Mathematical Induction to Prove the Formula for Every Positive $\sum _ { i = 1 } ^ { n } i ( i + 4 ) = \frac { n ( n + 1 ) ( 2 n + 13 ) } { 6 }$

question 238

Essay

Use mathematical induction to prove the formula for every positive integer n.Show all your work. $\sum _ { i = 1 } ^ { n } i ( i + 4 ) = \frac { n ( n + 1 ) ( 2 n + 13 ) } { 6 }$

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