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A sequence is an ordered list of numbers that follows a rule. Understanding sequences and being able to find their rules is a key part of AQA GCSE Mathematics. Foundation students need to work with linear sequences, while Higher tier students must also handle quadratic and geometric sequences.
| Term | Meaning | Example |
|---|---|---|
| Term | Each number in a sequence | In 2, 5, 8, 11... each number is a term |
| Position (n) | The place of a term in the sequence (1st, 2nd, 3rd...) | n = 1 for the first term |
| Term-to-term rule | A rule that describes how to get from one term to the next | Add 3 |
| Position-to-term rule (nth term) | A formula giving the value of any term from its position | 3n - 1 |
| Common difference | The constant difference between consecutive terms in a linear sequence | In 2, 5, 8, 11: d = 3 |
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