Modelling growth and decay using recursion

General Maths Units 3 and 4 (2023+)

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This is one of the last videos in the Year 12 General Maths series looking at modelling growth and decay using recursion. We have spent time, in the last video, looking at recurrence relations and how they can apply to geometric sequences. This video looks at how we can turn a recurrence relation into a rule. Once we have the rule, I apply it to compound interest and reducing balance depreciation problems with lots of worked examples. I finish the video by looking at some VCAA questions.

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Using an explicit rule for geometric growth and de
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recurrence relation into a rule