Write a formula for the general term, or nth term, for the given sequence.
-$$\frac { 1 } { 9 } , \frac { 8 } { 9 } , \frac { 64 } { 9 } , \frac { 512 } { 9 } , \ldots$$
A) $a _ { n } = \frac { 8 n } { 9 }$
B) $a _ { n } = \frac { 8 n - 8 } { 9 }$
C) $a _ { n } = \frac { 8 ^ { n - 1 } } { 9 }$
D) $a _ { n } = \frac { 8 ^ { n } - 1 } { 9 }$

Question

Quizplus · Accepted Answer

The sequence can be represented by $a_n = \frac{8^{n-1}}{9}$, as each term is 8 raised to the power of one less than its position in the sequence, all divided by 9.

Write a Formula for the General Term, or Nth Term 19,89,649,5129,…\frac { 1 } { 9 } , \frac { 8 } { 9 } , \frac { 64 } { 9 } , \frac { 512 } { 9 } , \ldots91​,98​,964​,9512​,…

Write a Formula for the General Term, or Nth Term $\frac { 1 } { 9 } , \frac { 8 } { 9 } , \frac { 64 } { 9 } , \frac { 512 } { 9 } , \ldots$