Write an Expression for the Nth Term of the Sequence $\frac { 1 } { 3 } , \frac { 2 } { 9 } , \frac { 4 } { 27 } , \frac { 8 } { 81 } , \mathrm {~K}$

question 1

Multiple Choice

Write an expression for the nth term of the sequence $\frac { 1 } { 3 } , \frac { 2 } { 9 } , \frac { 4 } { 27 } , \frac { 8 } { 81 } , \mathrm {~K}$ .

• A) \(a _ { n } = \frac { 2 ^ { n - 1 } } { 3 ^ { n } }\)
• B) \(a _ { n } = \frac { 2 ^ { n + 1 } } { 3 ^ { n } }\)
• C) \(a _ { n } = \frac { 2 ^ { n } } { 3 }\)
• D) \(a _ { n } = \frac { 6 ^ { n + 1 } } { 4 ^ { n - 1 } }\)
• E) \(a _ { n } = \frac { 6 ^ { n - 1 } } { 4 ^ { n } }\)