Number patterns and recursion

General Mathematics: Units 1 and 2

Introduction

Welcome

Learning Objectives

Recap of past learning

Finding the nth term of a geometric sequence

Finding the nth term of a geometric sequence: The Formula

Example: Finding the nth term of a geometric sequence

Turning percentage change into a common ratio

Example: Turning percentage change into a common ratio

Example 2: Turining percentage change into a common ratio

Rule for turning percentage change into a common ratio

Example: Calculating the common ratio for a given percentage change

Example: Application question

Final words

This video is the next video in the series looking at sequences. It is important to understand the difference between a rule and a recurrence relationship. This video looks at how we can find the nth term of a geometric sequence and how we can use it to find an term in the list. Knowing how to relate a common ratio and percentage increase or decrease is a handy skill which is used a lot in General Maths Units 3 and 4. The video is explained in my usual manner ensuring that it is easy to follow with lots and lots of worked examples. There is also an example of how we can apply this learning in real life using geometric sequences.

LEGAL STUFF (VCAA)

VCE Maths exam question content used by permission, ©VCAA. The VCAA is not affiliated with, and does not endorse, this video resource. VCE® is a registered trademark of the VCAA. Past VCE exams and related content can be accessed at www.vcaa.vic.edu.au

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