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

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) $\frac { n } { 2 } ( 5 n + 1 )$