# How do I find the common difference of an arithmetic sequence?

##### 1 Answer

Jun 22, 2017

To find out the common difference in an AP you can perform the following simple step.

#### Explanation:

Subtract the first term of the AP from the second term of the AP.

**d** = ** #a_2 #** -

# a_1#

where d = common difference

For example;

In the AP

3 , 9 , 15 , 21 , 27 , 33

Taking

Taking

hence , common difference or **d** = 6

Thanks

I hope this helps