Write an Expression for the Most Apparent Nth Term of the Sequence

question 80

Multiple Choice

Write an expression for the most apparent nth term of the sequence. (Assume that $n$ begins with 1.) $\frac { 1 } { 3 } , - \frac { 1 } { 9 } , \frac { 1 } { 27 } , - \frac { 1 } { 81 } , \frac { 1 } { 243 } , \mathrm {~K}$

• A) \(a _ { n } = \frac { ( - 1 ) ^ { n } } { 3 ^ { n } }\)
• B) \(a _ { n } = \frac { ( - 1 ) ^ { n + 1 } } { 3 ^ { n } }\)
• C) \(a _ { n } = \frac { ( - 1 ) ^ { n + 1 } } { 2 ^ { n } }\)
• D) \(a _ { n } = \frac { ( - 1 ) ^ { n } } { 2 ^ { n } }\)
• E) \(a _ { n } = \frac { 1 } { 2 ^ { n } }\)

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