When asked to find the n-th term of a linear sequence, you are asked to find the rule or the formula that allows you to find any term in the sequence.

This formula is of the form** an + b**; where the following criteria must be met:

- ‘
**a**‘ is any positive or negative number (**but not 0**) - ‘
**b**‘ is any positive or negative number (**can be 0**) - ‘
**n**‘ must be a positive integer (**whole number**)

To find the n-th term for a sequence you need to go through a few steps. Suppose you have the following

**STEP 1**: Find the increase from term to term (+3 in this case)

**STEP 2**: List the correponding times table above the sequence ( 3 times table in this case)

**STEP 3**: Find the difference between terms in the 2 sequences

**STEP 4**: The nth term formula for this sequence is therefore

**Example 2**

You can also have a sequence that decreases in order. Here is an example

Given the sequence above, the steps to find the nth term are listed below.