Number Sequences - Notes from Home

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Number Sequences

What is it? Sequence What comes next?

1,3,5,7,9

2,4,6,8,10

Odd Numbers

Even Numbers

11, 13 ,15

12, 14, 16

2, 3, 5, 7, 11 Prime Numbers 13, 17, 19, 23, 29

1, 4, 9, 16, 25 Square Numbers 36, 49, 64, 81, 100

1, 8, 27, 64

1, 3, 6, 10, 15,

21

1, 1, 2, 3, 5, 8,

13

Cube Numbers

Triangular

Numbers:

1

1+2 = 3

(1+2)+3 = 6

(1+2+3)+4 = 10

(1+2+3+4)+5 = 15

Fibonacci

Sequence: add the last two numbers to get the new number

(the sequence doesn’t always start at 1)

125, 216

28, 36, 45, 55

21, 34, 55, 89

Printables at Notes from Home 2011

FOR THE FOLLOWING SEQUENCES, WORK OUT THE JUMPS

BETWEEN THE NUMBERS TO SPOT THE PATTERN:

Sequence What is it? What comes next?

2, 5, 8, 11 14, 17 add the same number on each time:

in this case +3

54, 162 2, 6, 18 multiply by the same number each time: in this case x3

+1, +2, +3 etc 1, 2, 4, 7, 11,

16

3, 6, 18, 72,

360

1, 2, 4, 8, 16,

3, 6, 12 x2, x3, x4 etc

Doubling the previous number also doubling

1, 4, 3, 6, 5, 8 add three, take away one, repeat

3, 7, 15, 31

1, 2, 2, 4, 3, 6,

4, 8, 5, 10

1, 2, 2, 4, 3, 6, 4, 8, 5, 10

(x2 +1) two sequences in one: top and tail each number and see if there are 2 sequences

22, 29

2160

32, 64, 128, 256, 512

24, 48

7, 10, 9, 12

63, 127

6, 12 first sequence is 1, 2, 3, 4, 5 so the next number is 6 second sequence is 2, 4, 6,

8, 10 so the next number is

12

Printables at Notes from Home 2011

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