# Number Sequences

### Sequence What is it?

1,3,5,7,9

2,4,6,8,10

2, 3, 5, 7, 11

1, 4, 9, 16, 25

1, 8, 27, 64

1, 3, 6, 10, 15,

21

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

13

Odd Numbers

Even Numbers

Prime Numbers

Square Numbers

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)

### What comes next?

11, 13 ,15

12, 14, 16

13, 17, 19, 23, 29

36, 49, 64, 81, 100

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

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

+1, +2, +3 etc 22, 29 1, 2, 4, 7, 11,

16 x2, x3, x4 etc 2160 3, 6, 18, 72,

360

1, 2, 4, 8, 16,

3, 6, 12

1, 4, 3, 6, 5, 8

Doubling the previous number also doubling

32, 64, 128, 256, 512 add three, take away one, repeat

24, 48

7, 10, 9, 12

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

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