Representing geometric sequences graphically
I can represent geometric sequences graphically and appreciate the common structure.
Representing geometric sequences graphically
I can represent geometric sequences graphically and appreciate the common structure.
Lesson details
Key learning points
- A geometric sequence looks like a curve when sketched (common ratio > 1 or < 1).
- The gradient increases sharply (common ratio > 1 or < 1).
- Although the graph is continuous, the sequence is not.
- Each geometric sequence is made up of discrete terms.
Common misconception
Pupils may thing that given the graph is continuous, the sequence can contain all of the values represented by the line.
It is important that pupils know when it is appropriate to draw a line to graph sequences and whether values on the line have any meaning. Sequences are often given as a list of terms and without context we cannot assume the sequence is continuous.
Keywords
Geometric sequence - A geometric sequence is a sequence with a constant multiplicative relationship between successive terms.
Common ratio - A common ratio is a key feature of a geometric sequence. The constant multiplier between successive terms is called the common ratio.
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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