A sequence is a list of numbers. The next number of the sequence is found
using a rule ( eg. +3 , x2 etc) and every sequence has its own rule. The first
thing you need to do when you have a question about sequences is find out
what the rule is.
Some of the sequences will be really easy to figure out but others might take
a little bit of work. One of the things you could do is find out what the
difference is between the numbers that you already have and hopefully you
should be able to spot what is going on.
| Example 1.|
This is the sequence
7, 11, 15, 19, …, …
Let’s find out what the differences are.
The pattern is clearly adding four so to find the next two numbers all we have to is carry on adding 4.
| Example 2 |
Let’s try another sequence.
7, 14, 28, 56, …, …
Again, we need to find out what the differences are.
Here, we can see that the rule is adding itself on, or more simply, doubling itself.
Sometimes a sequence will be shown as a pattern that is drawn rather than
as numbers. In that case, you just have to do the same thing but first write
down the numbers in the pattern that you already have first.