Chapter 11.6, Problem 32SR

To determine

To find: The $a_n$ of the geometric sequence.

Answer to Problem 32SR

The $a_n$ of the geometric sequence is $1024$ .

Explanation of Solution

Given information:

The given values are,

  $\begin{array}{l}{a}_1=\frac{1}{64}\\ r=4\\ n=9\end{array}$

The $a_n$ of the geometric sequence is calculated as,

  $\begin{array}{c}{a}_n=a{r}^{n-1}\\ =\left(\frac{1}{64}\right){\left(4\right)}^{9-1}\\ =1024\end{array}$

Thus, the $a_n$ of the geometric sequence is $1024$ .