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Understand Common Integer Sequences

In this worksheet, students will revise common integer sequences.

'Understand Common Integer Sequences' worksheet

Key stage:  KS 3

Year:  Year 7 Maths worksheets

Curriculum topic:   Algebra

Curriculum subtopic:   Generate Terms of a Sequence

Popular topics:   Algebra worksheets, Year 7 Algebra worksheets, Square Numbers worksheets

Difficulty level:  

Worksheet Overview

The following important sequences should be familiar to you:

 

Counting numbers

1, 2, 3, 4, 5, 6, 7, 8...

 

Multiples of 2

2, 4, 6, 8, 10, 12, 14, 16...

 

Powers of 2

2, 4, 8, 16, 32, 64, 128, 256...

 

Powers of 10

10   100   1000   10,000   100,000

 

Fibonacci

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89...

The next number in the sequence is made by adding the two previous numbers eg. 2 + 3 = 5 and 34 + 55 = 89 

 

Square numbers

1, 4, 9, 16, 25, 36, 49, 64...

 

Cube numbers

1, 8, 27, 64, 125, 216, 343, 512...

 

Triangle numbers

1, 3, 6, 10, 15, 21, 28, 36, 45...

 

Now let's consolidate your knowledge of these sequences by tackling some questions!

 

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