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# Sequences and Series : Key Stage 5 (AS-Level) : Mathematics Content Knowledge

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Key Stage 5 (AS-Level)
Sequences and Series
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# 1. How confident are you that you can explain:

## Example

A sequence is a list of numbers that can be generated by applying a rule. Here are two examples:

1, 3, 5, 7, 9,…
Rule: add two to the previous term to get the next term.

1, 4, 9, 16, 25,…
Rule: Square the position number; so the 4th term is found by squaring 4, the 6th term found by squaring 6, and so on.

A series is a sequence whose terms have been added.  For example:

1, 3, 5, 7,… is a sequence; 1 + 3 + 5 + 7 + … is a series.

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