# How do you find the 9th term of the geometric sequence: 1875, 375, 75, 15,...?

##### 1 Answer
Mar 5, 2017

Use the formula provided below...
The ninth term is $\frac{3}{625}$

#### Explanation:

The general formula for a geometric sequence is

${t}_{n} = {t}_{1} {r}^{n - 1}$

where ${t}_{1}$ is the first term, ${t}_{n}$ is the ${n}^{t h}$ term and $r$ is the common ratio.

Here, the common ration is $\frac{1}{5}$, so

${t}_{9} = 1875 \cdot {\left(\frac{1}{5}\right)}^{8} = \frac{3}{625}$