# How do you find the next two terms of the geometric sequence 162, 108, 72, ...?

##### 1 Answer
Dec 23, 2016

$a = 162 , 108 , 72 , 48 , 32. . .$

#### Explanation:

In order to find the ${n}^{\text{th}}$ term of a geometric sequence, we use the following formula: ${a}_{n} = r {a}_{n - 1}$ where $r$ is the common ratio between each term. In order to find $r$, we divide one term by the term that came before it.

$r = \frac{108}{162} = \frac{2}{3}$

${a}_{4} = \frac{2}{3} \times 72 = 48$

${a}_{5} = \frac{2}{3} \times 48 = 32$