Download Number Sequences - Notes from Home

Number Sequences
Sequence
What is it?
What comes
next?
1,3,5,7,9
Odd Numbers
11, 13 ,15
2,4,6,8,10
Even Numbers
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
Cube Numbers
125, 216
1, 3, 6, 10, 15,
21
Triangular
Numbers:
28, 36, 45, 55
1
1+2 = 3
(1+2)+3 = 6
(1+2+3)+4 = 10
(1+2+3+4)+5 = 15
1, 1, 2, 3, 5, 8,
13
Fibonacci
Sequence:
21, 34, 55, 89
add the last two numbers
to get the new number
(the sequence doesn’t
always start at 1)
Printables at Notes from Home 2011
FOR THE FOLLOWING SEQUENCES, WORK OUT THE JUMPS
BETWEEN THE NUMBERS TO SPOT THE PATTERN:
Sequence
2, 5, 8, 11
What is it?
add the same
number on each
time: in this case +3
What comes next?
14, 17
2, 6, 18
multiply by the
same number
each time: in this
54, 162
case x3
1, 2, 4, 7, 11,
16
+1, +2, +3 etc
22, 29
3, 6, 18, 72,
360
x2, x3, x4 etc
2160
1, 2, 4, 8, 16,
Doubling the
previous number
also doubling
32, 64, 128, 256, 512
1, 4, 3, 6, 5, 8
add three, take
away one, repeat
7, 10, 9, 12
3, 7, 15, 31
(x2 +1)
63, 127
1, 2, 2, 4, 3, 6,
4, 8, 5, 10
two sequences in
one:
6, 12
1, 2, 2, 4, 3, 6, 4, 8, 5, 10
top and tail each number
and see if there are 2
sequences
3, 6, 12
24, 48
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