C1: Sequences and Series
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Arithmetic Series
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Recurrence relationships
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Sigma notation
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This is a very powerful topic. If I have £300 in the bank and save £7 a week, how long before I have £5000? You can work it out the long way: Start = £300, week 1 = £307, week 2 = £314 etc etc or you can do it the quick way which is what is taught in this topic.
Beware of the difference between a sequence and a series.
300, 307, 314, 321... is a sequence
300 + 307 + 314 + 321 + ... is a series
The question at the top is about a sequence. Here is a question about a series: If my rich Aunt gives me £300 one week, and gives me £307 the next week and £314 the next week and £321 the next week and so on, how long before I have a total of £5000
This topic gets extended in C2 when we move on to Geoemetric Sequences and Series; in this case, instead of adding an extra amount, we multiply. e.g. 300, 450, 675, 1012.5 etc - in this case every number is MULTIPLIED by 1.5
Beware of the difference between a sequence and a series.
300, 307, 314, 321... is a sequence
300 + 307 + 314 + 321 + ... is a series
The question at the top is about a sequence. Here is a question about a series: If my rich Aunt gives me £300 one week, and gives me £307 the next week and £314 the next week and £321 the next week and so on, how long before I have a total of £5000
This topic gets extended in C2 when we move on to Geoemetric Sequences and Series; in this case, instead of adding an extra amount, we multiply. e.g. 300, 450, 675, 1012.5 etc - in this case every number is MULTIPLIED by 1.5
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