# Representing sequences graphically

I can represent arithmetic sequences graphically and appreciate the common structure.

# Representing sequences graphically

I can represent arithmetic sequences graphically and appreciate the common structure.

## Lesson details

### Key learning points

- The terms in a sequence can be written as coordinates.
- The coordinates can be plotted on a grid.
- Arithmetic sequences have common structures.
- Other sequences might have common structures you can investigate.

### Common misconception

When plotting sequences, a line must be drawn through the points.

Plot (1,5), (2,10), (3,15), draw a line and find other coordinates. When n = 1.5 the term value is 7.5. Is 7.5 in the sequence 5n??

### Keywords

Arithmetic sequence - An arithmetic (or linear) sequence is a sequence where the difference between successive terms is a constant.

### Licence

This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

## Video

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## Starter quiz

### 6 Questions

A -

$$(1,4)$$

B -

$$(4,1)$$

C -

$$(4,-1)$$

D -

$$(1,-4)$$

1, 8, 15, 22, ... -

+7

1, -6, -13, -20, ... -

-7

36, 30, 24, 18, ... -

-6

-39, -33, -27, -21, ... -

+6

0, 3, 7, 12, ... -

No common difference

-17, -9, -1, 7, ... -

+8