Use the Principle of Mathematical Induction to Find the Equivalent $3 + 10 + 17 + \ldots + ( 7 n - 4 )$

question 12

Multiple Choice

Use the principle of mathematical induction to find the equivalent expression for every positive integer n. $3 + 10 + 17 + \ldots + ( 7 n - 4 )$

• A) \(n ( 7 n - 1 )\)
• B) \(\frac { n ( 7 n - 1 ) ^ { 2 } } { 2 }\)
• C) \(\frac { n ( 7 n - 1 ) } { 2 }\)
• D) \(\frac { n ^ { 2 } ( 9 n - 1 ) } { 6 }\)
• E) \(\frac { n ( 9 n - 1 ) } { 2 }\)