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Sequences and Patterns

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by

Mr Mattock

on 3 September 2016

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Transcript of Sequences and Patterns

Sequences and Patterns
L.O. - To use sequences to solve problems relating to visual patterns.
Starter
Find the nth term of this sequence:


3, 7, 11, 15, ...

Can you draw a series of pictures that use the number of lines that are in the sequence?
The 'nth' term of a pattern.
What is the perimeter of:
(a) Shape 1? (b) Shape 2? (c) Shape 3?

What is the perimeter of Shape n?
Main Activity 1
Red
Amber
Green
Find the nth term for the
number of lines in these patterns.
Find the nth term for the
number of lines in these patterns.
Find the nth term for the
number of lines in these patterns.
Find the nth term for the
number of lines in these patterns.
Find the nth term for the
number of dots in these patterns.
Find the nth term for the
number of dots in these patterns.
Find the nth term for the
number of lines in these patterns.
Find the nth term for the
number of lines in these patterns.
Find the nth term for the
number of cubes in these patterns.
Answers
Red
Amber
Green
2n + 1
3n + 1
2n + 2
3n - 2
5n + 2
2n + 4
11n
7n + 9
3n + 6
6n - 1
Come up with a visual pattern that would have this nth term.
Merit for the most interestingly designed pattern.
Starter
Find the nth term of this sequence:


3, 7, 11, 15, ...
= 4n - 1

Can you draw a series of pictures that use the number of lines that are in the sequence?
6n - 1
Come up with a visual pattern that would have this nth term.
The 'nth' term of a pattern.
What is the perimeter of:
(a) Shape 1? (b) Shape 2? (c) Shape 3?

4 8 12
What is the perimeter of Shape n?

4n
Wood 4 8 12

4l


Hinges 1 4 7

3l - 2
Activities
Activity
Answers

Key
Examples

Worked
Example

Worked
Example
Full transcript