CIE A Level Maths: Pure 1复习笔记4.4.4 Modelling with Sequences & Series
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
- 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
Exam 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
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