Find a Formula for the Nth Term of the Sequence $0,0,2,2,0,0,2,2$

Multiple Choice

Find a formula for the nth term of the sequence.
- $0,0,2,2,0,0,2,2$ (alternating 0's and 2's in pairs)

A) $a _ { n } = 1 + ( - 1 ) ^ { n ( n + 1 ) }$
B) $a _ { n } = 1 - ( - 1 ) ^ { n ( n - 1 ) }$
C) $\mathrm { a } _ { \mathrm { n } } = 1 + ( - 1 ) ^ { \mathrm { n } ( \mathrm { n } + 1 ) / 2 }$
D) $a _ { n } = 1 + ( - 1 ) ^ { n ( n - 1 ) }$