Find Terms and Create Expressions

The nth term is a formula with 'n' in it that enables you to find any term of a sequence without having to go up from one term to the next.

n stands for the term number so to find the 10th term, we would just substitute 10 in the formula in place of 'n'

In this activity, you will be asked to find the given term.

Example 1

Find the 6th term for n + 4 =

n stands for the number of the term, so for the 6th term, n will be 6

6 + 4 = 10

So the 6th term is 10

Example 2

Find the 8th term for 2n - 4 

n stands for the number of the term, so for the 8th term, n will be 8

Remember to always do the calculation in brackets first, BIDMAS

(2 x 8) - 4 = 12 

16 - 4 = 12

The 8th term is 12.

In this activity, you will also be asked to write an expression using given numbers and letters.

Example

The amount received by 6 children when a prize is shared equally between them.

Use the bold blue type letters and numbers to help:

We would create the expression:

a = p ÷ 6

Now, over to you!