Generate a formula from a sequenceLinear sequences

Sequences aren't always just lists of numbers. Some sequences relate to real world situations, like prices or measurements.

You might be presented with information that you can put into a sequence. It can help if you put the information into a table.

Example

Gillian has a pay-as-you-go mobile phone contract and she is trying to work out how much money she has spent on texts this week.

The cost of one text message is 5p.

You would make a table of values for up to six texts showing the cost in pence as below.

Now, we need to find a formula that will help us find the cost (C) of any number of texts (T).

From the table above, you should notice that the cost increases by 5 each time.

The formula is C= 5 x T