Write an expression for the apparent nth term of the sequence.(Assume that n begins with 1. ) $$- 243,729 , - 2187,6561 , - 19683 , \ldots$$
A) $a _ { n } = 3 ^ { n - 4 }$
B) $a _ { n } = ( - 3 ) ^ { n - 4 }$
C) $a _ { n } = 3 ^ { n + 4 }$
D) $a _ { n } = ( - 3 ) ^ { n }$
E) $a _ { n } = ( - 3 ) ^ { n + 4 }$

Question

Write an expression for the apparent nth term of the sequence.(Assume that n begins with 1. )​ $$- 243,729 , - 2187,6561 , - 19683 , \ldots$$ ​
A) $a _ { n } = 3 ^ { n - 4 }$ ​
B) $a _ { n } = ( - 3 ) ^ { n - 4 }$ ​
C) $a _ { n } = 3 ^ { n + 4 }$ ​
D) $a _ { n } = ( - 3 ) ^ { n }$ ​
E) $a _ { n } = ( - 3 ) ^ { n + 4 }$ ​

Quizplus · Accepted Answer

The sequence alternates signs and follows a pattern of powers of 3. The nth term is $(-3)^{n+4}$, starting with $(-3)^5 = -243$.

Write an Expression for the Apparent Nth Term of the Sequence.(Assume