Unit 8
Number Sequences
Presentation 1
Simple Number Patterns
Presentation 2
Recognising Patterns
Presentation 3
Geometric Patterns
Presentation 4
Linear Sequence
Presentation 5
General Laws
Unit 8
Number Sequences
Simple Number Patterns
What are the next three terms?
Unit 8
Number Sequences
You have finished viewing:
Simple Number Patterns
Return to front slide
Presentation 1
Simple Number Patterns
Presentation 2
Recognising Patterns
Presentation 3
Geometric Patterns
Presentation 4
Linear Sequence
Presentation 5
General Laws
Unit 8
Number Sequences
Recognising Patterns
For some sequences, you need to find the
pattern in the difference.
For example,
First difference
Second difference
Unit 8
Number Sequences
You have finished viewing:
Recognising Patterns
Return to front slide
Presentation 1
Simple Number Patterns
Presentation 2
Recognising Patterns
Presentation 3
Geometric Patterns
Presentation 4
Linear Sequence
Presentation 5
General Laws
Unit 8
Number Sequences
Geometric Patterns
Count the number of patio stones for the flower
beds below and generalise your results.
n=1
Number of patio stones =
10
n=2
Number =
17
n=3
Number =
24
Count the number of patio stones for the flower
beds below and generalise your results.
n=4
Number of patio stones =
31
n=5
Number of patio stones =
38
Number of patio stones = 199
n=
28
We can summarise our results in a table
n
1
2
3
4
5
28
Patio Stones
10
17
24
31
38
199
From this we can identify a general rule
Patio stones = 3 + 7n
Unit 8
Number Sequences
You have finished viewing:
Geometric Patterns
Return to front slide
Presentation 1
Simple Number Patterns
Presentation 2
Recognising Patterns
Presentation 3
Geometric Patterns
Presentation 4
Linear Sequence
Presentation 5
General Laws
Unit 8
Number Sequences
Linear Sequence
The 7th,8th and 9th terms of a sequence are
61, 69 and 77. Find the formula to describe
this sequence. Hence find the 100th term.
Find the differences
?
So the sequence is of the form
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Find the differences
So
We find b by using
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?
?
?
Unit 8
Number Sequences
You have finished viewing:
Linear Sequence
Return to front slide
Presentation 1
Simple Number Patterns
Presentation 2
Recognising Patterns
Presentation 3
Geometric Patterns
Presentation 4
Linear Sequence
Presentation 5
General Laws
Unit 8
Number Sequences
General Laws
Study the number lines and calculate the
boxed values.
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?
?
?
?
?
?
?
?
?
Unit 8
Number Sequences
You have finished viewing:
General Laws
Return to front slide
Presentation 1
Simple Number Patterns
Presentation 2
Recognising Patterns
Presentation 3
Geometric Patterns
Presentation 4
Linear Sequence
Presentation 5
General Laws