# What is an arithmetic sequence with a common difference of -5?

Jan 3, 2018

$5 , 0 , - 5 , - 10. . .$

#### Explanation:

in an arithmetic sequence, the common difference $\left(d\right)$ is constant.

to get from one term to the next, the process is always to add $d$.

if $d = - 5$, $- 5$ is added to find the next number in the sequence. this is the same as subtracting $5$.

$5 , 0 , - 5 , - 10. . .$
$5 + \left(- 5\right) = 0$
$0 + \left(- 5\right) = - 5$
$- 5 + \left(- 5\right) = - 10$