Extending thinking about sequences
I can appreciate that abstract sequences can have negative values.
Extending thinking about sequences
I can appreciate that abstract sequences can have negative values.
These resources will be removed by end of Summer Term 2025.
Lesson details
Key learning points
- When you move away from physical representations of sequences, you can think abstractly.
- You can consider what happens if there was not a first term.
- The sequence could extend forward and backwards.
- You can generate previous terms using the inverse of the term-to-term rule.
Keywords
Arithmetic sequence - An arithmetic (or linear) sequence is a sequence where the difference between terms is a constant.
Geometric sequence - A geometric sequence is a sequence with a constant multiplicative relationship between successive terms.
Common misconception
All sequences can go on infinitely.
When we think abstractly and start a sequence such as 8, 10, 12, 14, 16, ... it is possible that it goes on infinitely. However, if we applied this sequence to a context such as pairs of pupils getting on a bus, then a physical limit will apply.
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).
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