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CIE A Level Maths: Pure 1復(fù)習(xí)筆記4.4.3 Recurrence Relations

Category: A-level課程, 教材筆記, 福利干貨 Date: 2022年8月19日 上午11:00

Recurrence Relations

What do I need to know about recurrence relations?

  • A?recurrence relation?describes each term in a progression as a function of the previous term – ie?un+1?= f(un)
  • Along with the first term of the sequence, this allows you to generate the sequence term by term

4.3.3-Recur-Rel-Illustr-1

  • Both?arithmetic progressions?and?geometric progressions?can be defined using recurrence relations

4.3.3-Recur-Rel-Illustr-2

  • However, you can also define progressions that are neither arithmetic nor geometric

4.3.3-Recur-Rel-Illustr-3

Exam Tip

  • For arithmetic or geometric progressions defined by recurrence relations, you can sum the terms using the?arithmetic series?and?geometric?formulae.
  • To sum up the terms of other progressions, you may have to think about the series and find a clever trick.

Worked Example

4.3.3-Recur-Rel-Example

 

 

 

 

 

 

 

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