# Next few terms in a sequence - consistent difference between differences

In order to work out the next few terms in a sequence when there is a consistent difference between differences follow the examples below:

**Example 1**

In the following sequence what are the next two sets of numbers?

`2`, `4`, `8`, `14`, `22`

First, see if there is a consistent difference between each number

There is not but now see if there is a consistent difference between differences.

There is! Great!

To find the next two sets of numbers extend the sequence in the same pattern in stages as follows:

First the bottom line.

Then the middle line.

Finally the sequence (the top line)

Answer: The next two in the sequence are `32` and `44`

**Example 2**

In the following sequence what are the next two sets of numbers?

`6`, `13`, `26`, `45`, `70`

First, see if there is a consistent difference between each number

There is not but now see if there is a consistent difference between differences.

There is! Great!

To find the next two sets of numbers extend the sequence in the same pattern in stages as follows:

First the bottom line.

Then the middle line.

Finally the sequence (the top line)

Answer: The next two in the sequence are `101` and `138`