Write an Expression for the N Th Term of the Sequence

Multiple Choice

Write an expression for the n th term of the sequence $4 , \frac { 4 } { 2 } , \frac { 4 } { 6 } , \frac { 4 } { 24 } , \frac { 4 } { 120 } , \ldots$ Assume that n begins with 1.

A) $a _ { n } = 4 + \frac { 1 } { n ! }$
B) $a _ { n } = \frac { 4 } { ( n + 1 ) }$
C) $a _ { n } = \frac { 4 } { n ( n + 1 ) }$
D) $a _ { n } = \frac { 4 } { n ! }$
E) $a _ { n } = 4 + \frac { 1 } { ( n + 1 ) ! }$