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Modelling with Sequences & Series (OCR A Level Maths A) : Revision Note

Roger B

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Roger B

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OCR Maths A: PureAQA Maths: PureEdexcel Maths: Pure

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Modelling with Sequences & Series

What do I need to know about modelling with sequences and series?

  • Many real-life situations can be modelled using sequences and series

  • If a quantity is changing repeatedly by having a fixed amount added to or subtracted from it then the use of arithmetic sequences and arithmetic series is appropriate

Model Seq Ser Illustr 1, A Level & AS Level Pure Maths Revision Notes

  • If a quantity is changing repeatedly by a fixed percentage, or by being multiplied repeatedly by a fixed amount, then the use of geometric sequences and geometric series is appropriate

 

Model Seq Ser Illustr 2, A Level & AS Level Pure Maths Revision Notes

 

Examiner Tips and Tricks

  • Remember, an exam question won't always tell you to use sequence and series methods, so you've got to be able to spot 'hidden' sequence and series questions.

  • To help you do this, be suspicious of questions about savings accounts, salaries, sales commissions, profits and the like – these are often sequence and series questions in disguise!

Worked Example

Model Seq Ser Example, A Level & AS Level Pure Maths Revision Notes

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    Roger B

    Author: Roger B

    Expertise: Maths

    Roger's teaching experience stretches all the way back to 1992, and in that time he has taught students at all levels between Year 7 and university undergraduate. Having conducted and published postgraduate research into the mathematical theory behind quantum computing, he is more than confident in dealing with mathematics at any level the exam boards might throw at you.