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

question 6

Essay

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


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