Use Mathematical Induction to Solve for All Positive Integers N $4 + 8 + 12 + 16 + \ldots + 2 n = ?$

Multiple Choice

Use mathematical induction to solve for all positive integers n. $4 + 8 + 12 + 16 + \ldots + 2 n = ?$

A) $( n + 3 ) n$
B) $\frac { n ( n + 2 ) } { 2 }$
C) $( n + 2 ) n$
D) $\left( \frac { n ( n + 2 ) } { 2 } \right) ^ { 2 }$
E) $\frac { n ( n + 1 ) ( n + 2 ) } { 6 }$