Using recurrence relationships to model growth and decay | Year 11 General Maths | MaffsGuru.com

**

This is another video is the sequences series; a part of the Year 11 General Maths Units 1 and 2 course. Having spent a lot of time looking at what arithmetic and geometric sequences are, it's time to look at some real world uses. We become more and more interested in the ideas of growth and decay. This video looks at growth and decay for both linear and geometric real world situations. I take some time to look at how we can tell if something will grow or decay and whether it's going to be linear or geometric. This is, probably, one of the most important videos of the whole section as it builds the foundation for Year 12 General Maths Units 3 and 4. There are lots of worked examples which are all explained in my own unique way.

**

00:00 - Introduction
00:07 - Welcome
00:53 - Learning Objectives
01:13 - Recap of past learning
01:47 - Linear growth and decay
02:23 - Example: Simple interest
05:55 - Example: Flat rate depreciation
09:28 - The rule from a recurrence relationship
10:22 - Linear growth and decay rules from recurrence relationships
11:01 - Example 1: Linear growth
14:34 - Geometric growth and decay
14:52 - Example: Compound interest investment
17:14 - Example: Reducing balance depreciation
18:52 - The rule from a recurrence relationship
19:51 - Geometric growth and decay from recurrence relationships
20:32 - Example: Geometric growth
21:53 - Example: Geometric decay
22:51 - Final words

This maths video has been created for courses which are delivered in Australia but, as Maths is a constant, it is equally helpful for students in the USA, UK and other countries who are looking for good maths videos for both high school and middle school.