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