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

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
${a}_{2}$ = any term other than first term
${a}_{1}$ = previous term

For example;

In the AP
3 , 9 , 15 , 21 , 27 , 33

Taking ${a}_{1}$ = 3
Taking ${a}_{2}$ = 9

${a}_{2}$ - ${a}_{1}$ = 9 - 3 = 6

hence , common difference or d = 6

Thanks

I hope this helps