Modelling with Sequences & Series (CIE A Level Maths: Pure 1)

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Modelling with Sequences & Series

What do I need to know about modelling with progressions?

  • Many real-life situations can be modelled using progressions
  • If a quantity is changing repeatedly by having a fixed amount added to or subtracted from it then the use of arithmetic progressions 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 progressions is appropriate

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

 

Examiner Tip

  • Remember, an exam question won't always tell you to use progression methods, so you've got to be able to spot 'hidden' progression questions.
  • To help you do this, be suspicious of questions about savings accounts, salaries, sales commissions, profits and the like – these are often progression questions in disguise!

Worked example

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

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Roger

Author: Roger

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.