**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

Answers

**Key**

Examples

Examples

**Worked**

Example

Example

**Worked**

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Example