1.2 Sequences (use this)

SEQUENCES

Target: To find
the next number
in the sequence
and complete the
number sequence.

What is a sequence?

A sequence is It can be a pattern
a pattern. of :

• objects
• music
• letters
• or numbers

Formally, sequence is a
set of numbers or
objects arranged

according to a certain
pattern.

Here is a sequence of objects

What animal would come
next in this sequence?

Correct! It would be a
mouse.

Here is a sequence of sounds

What sound will come next in the
sequence?

Correct! It will be the
cow mooing.

Here is a sequence of letters.

aabcaabcaabca

What letter will Correct!
come next in It‘s the letter a.
the sequence?
Look carefully at
the letters.

Here is a sequence of numbers.

0 2 4 6 8 10 12 14 16

Correct it is What number is going
the number to come next in this
sequence?
18

Examples of a Sequence

+6 +6 +6 +6

The pattern is add 6 to the previous
term. So the set of number is a
Sequence.

Examples of a Sequence

x3 x3 x3 x3 x3

The pattern is x3.
So the set of number is a
Sequence.

Examples of a Non Sequence

-3 -4 -1 -2 -5

This set of numbers has no pattern.
So it is not a Sequence.

Tip! To find the next number in a
number sequence:

•Look at all of the numbers in the
sequence
•Find the pattern

•Decide what number should come next

•Put your number into the sequence and
check that it looks correct

Play

and finish these number
sequences.

Look at these number sequences carefully can
you guess the next 2 numbers?

What about guess the rule?

+10

30 40 50 60 70 80

------------------------------------------------------------------------------

17 20 23 26 29 +3
32

------------------------------------------------------------------------------

48 41 34 27 20 13 -7

------------------------------------------------------------------------------
-3 -7 -11 -15 -19 -23 -7

Look at these number sequences carefully can
you guess the next 2 numbers?

What about guess the rule?

x4

3 12 48 192 768 3072

------------------------------------------------------------------------------
6 3 1.5 0.75 0.375 0.1875

------------------------------------------------------------------------------

-0.12 -0.48 -1.92 -7.68 -30.72 -122.88

X 4 or

Can you work out the missing numbers in each of
these sequences?

50 75 100 125 150 175 +25

------------------------------------------------------------------------------
30 50 70 90 110 130 +20

------------------------------------------------------------------------------
196 191 186 181 176 171 -5

-----------------------------------------------------------------------------

306 296 286 276 266 256 -10

Now try these sequences – think carefully and complete it!

+1, +2,
1 2 4 7 11 16 +3 …

----------------------------------------------------------------------------
3 6 12 24 48 96 double

----------------------------------------------------------------------------
0.5 0.15 0.045 0.0135 0.00405 0.001215 X0.3

------------------------------------------------------------------------------

288 72 18 4.5 1.125 0.28125

or X 0.25



Review the lesson

What have you learned
from the lesson?