A number pattern which increases (or decreases) by the same amount each time is called a linear sequence. The amount it increases or decreases by is known as the common difference.

Part of

To find the common difference, you need to work out how much the terms are increasing or decreasing by from one term to the next.

For example, find the common difference and the next two terms of the following sequence.

We can see that these terms go up by every time, or we state that the common difference is . The next two terms will then be and .

- Question
Find the common difference and the next two terms of the following sequence.

The common difference is . The next two terms are and .