Here is a sequence of numbers:

1, 2, 4, 8, 16, 32, 64, 128...

Starting at 1, we get the next number by **multiplying by 2** or **doubling **the previous number.

These numbers are also called the **powers of 2**.

2^{0} = 1

2^{1} = 2

2^{2} = 4

2^{3} = 8

2^{4} = 16

2^{5} = 32

2^{6} = 64

2^{7} = 128

... etc...

The** 'powers of 2' **are an example of a **geometric **sequence, where each term after the first is found by multiplying the previous term by a fixed number, called the common ratio. The common ratio is 2.

The 'powers of 2' sequence goes on for ever. It is infinite and grows quickly!

Let's have a go at some questions now,