# Finding the nth term of a linear sequence

Sometimes, rather than finding the next number in a linear sequence, you want to work out the number, or the number.

Writing out or numbers takes too much time, so you can use a general rule.

To find the value of any term in a sequence, use the term rule.

Question

What is the term of this sequence?

So the term is or

For example, to find the term, work out . To find the term, work out .

So the term is and the term is

Question

What are the term and the term of this sequence:

?

term

term .

To work this out, , so