# Linear Sequence - nth term STEP BY STEP

a step by step sheet on working out the nth term

- Created by: Katy
- Created on: 11-06-12 07:26

First 101 words of the document:

Linear SEQUENCES

Example (apply to all linear sequences):

4 7 10 13 16

FIND THE DIFFERENCE:

4 7 10 13 16

3N

3 3 3 3

Write in a table. To find the last part of the rule:

1. Get the number in front of the "N", in this case

3, and multiply by the nth terms e.g. 3 x 1 = 3.

2. You then take this away from the first term in the

sequence. (4-3) So the difference is +1.

3. For the second one you would do

3 x 2 = 6, 7-6 = +1 and so on.

Term 4 7 10 13 16

Nth term 1 2 3 4 5

Difference +1 +1 +1 +1 +1

Nth term = 3n + 1

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