Use Mathematical Induction to Solve for All Positive Integers N $22 + 27 + 32 + 37 + \ldots + ( 5 n - 17 ) = ?$

question 20

Multiple Choice

Use mathematical induction to solve for all positive integers n. $22 + 27 + 32 + 37 + \ldots + ( 5 n - 17 ) = ?$

• A) \(\frac { n } { 2 } ( 5 n + 5 )\)
• B) \(n ( 22 n + 1 )\)
• C) \(\frac { n ( n + 1 ) } { 22 }\)
• D) \(n ( n + 22 )\)
• E) \(\frac { n } { 2 } ( 5 n + 1 )\)

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