Find a Formula for the General Term $a _ { n }$

Multiple Choice

Find a formula for the general term $a _ { n }$ of the sequence $\{ 1,6,120,5040 , \ldots \}$ .

A) $3 ^ { n } ( n + 1 ) !$
B) $3 ^ { n } n !$
C) $( n + 1 ) !$
D) $( n + 2 ) !$
E) $( 2 n ) !$
F) $n !$
G) $( 2 n - 1 ) !$
H) $2 ^ { n } n !$