AQA A Level Maths: Pure復習筆記4.5.3 Recurrence Relations
Recurrence Relations
What do I need to know about recurrence relations?
- A?recurrence relation?describes each term in a sequence 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
- Both?arithmetic sequences?and?geometric sequences?can be defined using recurrence relations
- However, you can also define sequences that are neither arithmetic nor geometric
Exam Tip
- For arithmetic or geometric sequences defined by recurrence relations, you can sum the terms using the?arithmetic series?and?geometric series?formulae.
- To sum up the terms of other sequences, you may have to think about the series and find a clever trick.
Worked Example
轉載自savemyexams
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