Features of geometric sequences
I can appreciate the features of a geometric sequence.
Features of geometric sequences
I can appreciate the features of a geometric sequence.
Lesson details
Key learning points
- Arithmetic sequences are not the only type of sequence.
- In a geometric sequence, there is still a first term.
- Instead of a common difference, there is a common multiplier.
- This common multiplier is referred to as the common ratio.
Common misconception
After becoming very familiar with arithmetic sequences pupils can find the difference between the first two terms and just assume the sequence is arithmetic.
Explore a large number of geometric and arithmetic sequences and see if pupils can articulate how they check if a sequence is geometric. They might say the terms of the sequence grow more quickly (for some geometric sequences).
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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