Use Mathematical Induction to Solve for All Positive Integers N $\sum _ { i = 1 } ^ { n } i ( i + 4 ) = ?$

question 41

Multiple Choice

Use mathematical induction to solve for all positive integers n.​ $\sum _ { i = 1 } ^ { n } i ( i + 4 ) = ?$ ​

• A) \(\frac { n ( 2 n + 13 ) } { 6 }\)
• B) \(\frac { n ( n + 1 ) ( 2 n + 13 ) } { 4 }\)
• C) \(\frac { n ( n + 1 ) ( n + 13 ) } { 6 }\)
• D) \(\frac { n ( n + 1 ) ( 2 n + 13 ) } { 6 }\)
• E) \(\frac { n ( n + 1 ) ( 2 n + 13 ) } { 2 }\)

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