# How do you find the nth term rule for #1/2,1,3/2,2,...#?

##### 2 Answers

#### Explanation:

firstly see what the terms increase by

difference

so nth term is of the form

use the first term and

a quick mental check on the next few terms confirms the result.

#### Explanation:

The sequence might be easier to recognise as an AP if the terms are written as improper fractions:

An even better way to write this is in halves:

It is then immediately obvious that each term is just

Using the formula/ general rule:

The nth term is written as

All the values you need are available from the sequence.