A **linear** sequence has a difference between the terms that is **the same each time**, so it increases or decreases by equal steps.

This means we can continue such a sequence using a** term-to-term rule**.

**e.g. Find the 10 ^{th} number in this sequence:**

**2, 6, 10, 14, ...**

If we look at the differences between the terms, each term is **4 more** than the previous.

So the term-to-term rule is** + 4**.

If we continue this sequence, it would become:

2, 6, 10, 14, 18, 22, 26, 30, 34, 38, 42, 46, 50, etc...

The tenth term is **38**.

In this activity, we will find term-to-term rules for linear sequences and apply these to find next or specified terms.

You should not use a calculator for this activity, but rather practise your mental arithmetic skills.