Find the Nth Term $a _ { n }$ Of a Sequence Whose First Four Terms Are Given

Multiple Choice

Find the nth term $a _ { n }$ of a sequence whose first four terms are given.
- $$1 , - 16,81 , - 256$$

A) $a _ { n } = ( - 1 ) ^ { n + 1 } \left( n ^ { 4 } \right)$
B) $a _ { n } = ( - 1 ) ^ { n } \left( n ^ { 4 } \right)$
C) $a _ { n } = - n ^ { 4 }$
D) $a _ { n } = n ^ { 4 }$