# How do I find the common difference of the arithmetic sequence 5, 9, 13, 17,...?

May 17, 2018

4n+1

#### Explanation:

Each term increases by 4

Something to do with the four times table

4 8 12 16

You have to add one o each term so the rule is 4n+1

May 18, 2018

The common difference is $4$.

#### Explanation:

The common difference is the difference between two consecutive terms in a sequence. To find it, we just need to do simple subtraction.

$9 - 5 = 4$
$13 - 9 = 4$
$17 - 13 = 4$
etc.

Each time, we get $4$. There is a difference of $4$ between each consecutive number in the sequence. Therefore, the common difference is $4$.