# What is the common difference of the arithmetic sequence 5, 4.5, 4, 3.5,...?

Jul 4, 2015

color(blue)(d=-0.5

#### Explanation:

The arithmetic sequence is:

$5 , 4.5 , 4 , 3.5$

For any two consecutive terms of an arithmetic sequence there is a common difference which can be found as follows:

$d = 4.5 - 5 = - 0.5$
$d = 4 - 4.5 = - 0.5$
$d = 3.5 - 4 = - 0.5$

So the common difference of this arithmetic progression is
color(blue)(d=-0.5