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Powers of 2

In this worksheet, students work with the powers of 2 as an example of a geometric sequence.

'Powers of 2' worksheet

Key stage:  KS 2

Year:  Year 5 11+ worksheets

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Equations and Algebra

Difficulty level:  

Worksheet Overview

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.

20 = 1

21 = 2

22 = 4

23 = 8

24 = 16

25 = 32

26 = 64

27 = 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!

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