# What is the common ratio of the geometric sequence 16, 24, 36, 54...?

Feb 15, 2016

The common ratio for the geometric sequence is :
color(blue)(3/2

#### Explanation:

$16 , 24 , 36 , 54$

We calculate the common ratio $r$:
$r$ is obtained by dividing a term by its preceding term

1) 24/16=color(blue)( 3/2

2) 36/24= color(blue)(3/2

The common ratio for the geometric sequence is :
color(blue)(3/2