Find a Formula for the Nth Term of the Sequence $0 , \frac { 2 } { 3 } , 0 , \frac { 2 } { 3 } , 0$

question 89

Multiple Choice

Find a formula for the nth term of the sequence.
- $0 , \frac { 2 } { 3 } , 0 , \frac { 2 } { 3 } , 0$ (alternating 0 's and $\frac { 2 } { 3 }$ 's)

• A) \(a _ { n } = \frac { 1 + ( - 1 ) ^ { n + 1 } } { 2 + ( - 1 ) ^ { n + 1 } }\)
• B) \(a _ { n } = \frac { 1 - ( - 1 ) ^ { n } } { 2 + ( - 1 ) ^ { n } }\)
• C) \(a _ { n } = \frac { 1 + ( - 1 ) ^ { n + 1 } } { 2 - ( - 1 ) ^ { n + 1 } }\)
• D) \(a _ { n } = \frac { 1 + ( - 1 ) ^ { n } } { 2 + ( - 1 ) ^ { n } }\)