# How do you find the indicated term of the geometric sequence where a_1=1/64, r=4, n=9?

May 11, 2018

${a}_{9} = 1024$

#### Explanation:

$\text{the n th term of a geometric sequence is}$

•color(white)(x)a_n=ar^(n-1)

$\text{here "a=1/64" and } r = 4$

$\Rightarrow {a}_{9} = \frac{1}{64} \times {\left(4\right)}^{8}$

$\textcolor{w h i t e}{\times \times} = \frac{1}{64} \times 65536 = 1024$