Write the First Five Terms of the Sequence $n$ Begins with 0

Multiple Choice

Write the first five terms of the sequence. (Assume that $n$ begins with 0 .)
$$a _ { n } = \frac { 3 ^ { n } } { ( n + 1 ) ! }$$

A) $1 , \frac { 3 } { 2 } , \frac { 3 } { 2 } , \frac { 9 } { 8 } , \frac { 27 } { 40 }$
B) $\frac { 3 } { 2 } , \frac { 9 } { 8 } , \frac { 27 } { 40 } , \frac { 27 } { 80 } , \frac { 81 } { 560 }$
C) $0 , \frac { 3 } { 2 } , \frac { 9 } { 8 } , \frac { 27 } { 40 } , \frac { 27 } { 80 }$
D) $3 , \frac { 3 } { 8 } , \frac { 9 } { 40 } , \frac { 9 } { 80 } , \frac { 27 } { 560 }$
E) $3 , \frac { 3 } { 2 } , \frac { 3 } { 8 } , \frac { 3 } { 40 } , \frac { 1 } { 80 }$