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

Multiple Choice

Find a formula for the nth term of the sequence.
- $0,2,2,2,0,2,2,2 ( 0,2,2,2$ repeated)

A) $a _ { n } = 1 + ( - 1 ) ^ { n } ( n + 1 ) ( n + 2 ) / 6$
B) $a _ { n } = 1 + ( - 1 ) ^ { n ( n + 1 ) / 2 }$
C) $a _ { n } = 1 + ( - 1 ) ^ { ( n + 1 ) ( n + 2 ) / 2 }$
D) $a _ { n } = 1 + ( - 1 ) ^ { n ( n - 1 ) / 2 }$