Question

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

Answer 1

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

Answer 2

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`.