Grade 12 Maths

Grade 12 Maths                  

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Arithmetic Sequences

Revision of Grade11

Goals

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Exercises

Grade 12 Maths

Overview

Sequences are similar to functions but work off a discrete domain  or  the natural numbers. Quadratic - qaudratic; arithmetic - linear; geometric - exponential function.

Before you take on this lecture cover Functions Overview and review your grade11 work. Otherwise its pretty much a stand alone section. Examiners usually tell you if you are dealing with a Quadratic Sequence, but they do want you to determine the difference between an Arithmetic Sequence and a Geometric Sequence.

Students - Keep with the notation of T for an element and Sn for a sum or series. Learn the formulas on the info sheet

Instructors, Teachers, Manager - Sequences and Series is 25 Marks out of 150. Its a must for a distinction. Recognizing the difference between Arithmetic and geometric is the key skill. The rest comes from the information sheet.

Goals

A sequence is a set of ordered numbers. You must be able to work with the following sequences 

Arithmetic Sequences 

Geometric Sequences

Quadratic Sequences

A series is a set of ordered numbers where the terms are added together.

Arithmetic Series

Geometric Series

In a series you must be able to deal with

Sigma notation

Infinite Series

Applications of Series including percentages and probabilities.   

Revision of Grade 11

Mathplanet  Pre Algebra

Siyavula      Grade 11

External Links

Siyavula

Overview

 

Kahn

Overview

Exam Solutions.....      Overview
Open Stax Quadratic Sequence
BBC Quadratic Sequences

Advanced

Beyond the Grade 12  Syllabus - only advanced students should follow

Wikipedia     

Arithmetic Sequence

Time Series

Exercises

That Quizz      Arithmetic Sequences and Series

Philip Copeman