Number Patterns, Sequences And Series Grade 10, 11 And 12

Master Arithmetic and Geometric Sequences, Series, and Number Patterns with Step-by-Step Guidance for High School Succes

What you'll learn

Solve arithmetic and geometric sequences with ease, including finding terms, sums, and general formulas.

Analyze and solve complex number patterns using logical reasoning and algebraic techniques.

Master the use of sigma notation to calculate series efficiently and accurately.

Apply sequences and series concepts to real-world problems and exam-style questions.

Requirements

A basic understanding of algebra, such as solving equations and working with variables. Access to a calculator capable of handling basic arithmetic and geometric calculations. Willingness to practice and engage with exercises for a deeper understanding. No prior knowledge of sequences or series is required—this course is beginner-friendly and designed to guide you step by step!

Description

This course is intended for purchase by adults. This comprehensive course on Number Patterns, Sequences, and Series is your ultimate guide to mastering these essential mathematics topics for Grades 10, 11, and 12. Whether you are a parent supporting a learner, a tutor enhancing your teaching skills, or an adult revisiting mathematics for personal growth or professional development, this course is designed with you in mind.In this course, you will gain a deep understanding of arithmetic and geometric sequences and series, learn to work with sigma notation, and solve a variety of number pattern problems. Through clear explanations, practical examples, and step-by-step solutions, you will build the skills needed to approach even the most challenging questions with confidence.The course includes real-world applications and exam-style problems, ensuring learners are prepared for academic success. You will also develop critical thinking and problem-solving skills that are vital for mastering mathematics as a subject.It is structured to provide clarity and ease of understanding, making it accessible to those new to these concepts or looking for a refresher. Please note that this course is intended for purchase by adults who are either supporting high school learners or pursuing their own educational goals. Everything you need to help you through this topic within your mathematics syllabus is catered for in this course in addition to our other courses.

Overview

Section 1: Free Marks Scenarios

Lecture 1 Determining The Next Term In A Geometric Sequence

Lecture 2 Calculate The Sum To Infinity Of A Series

Lecture 3 Getting The Next Two Terms Of A Quadratic Sequence

Lecture 4 Finding A Specific Term In A Quadratic Sequence

Lecture 5 Determining The Formula Tn, The Nth Term Of A Geometric Sequence

Lecture 6 Showing Why The Sum To Infinity Of A Sequence Exists

Lecture 7 Writing Down The First Three Terms Of A Quadratic Sequence

Lecture 8 Determining The Second Difference Of A Quadratic Sequence

Lecture 9 Finding A Missing Term In A Geometric Series

Lecture 10 Determining A Formula For The Nth Term Of An Arithmetic Sequence

Lecture 11 Writing Down The Remainders Of Terms In An Arithmetic Sequence

Lecture 12 Working With Figures That Represent A Quadratic Sequence

Lecture 13 Determining The Nth Term Of An Infinite Geometric Sequence

Lecture 14 Determining The Common Ratio Of A Geometric Sequence

Lecture 15 Get A Formula For Tn Of A Geometric Sequence Where Only Two Terms Are Given

Lecture 16 Writing Down The Value Of The Next Term In A Quadratic Sequence

Lecture 17 Explaining Why A Series Converges

Section 2: Not So Complicated Questions

Lecture 18 Finding Out How Many Terms Are In An Arithmetic Series

Lecture 19 Calculating The Sum Of An Arithmetic Series

Lecture 20 Determining N If The Nth Term Is 1 Over 64 In A Geometric Sequence

Lecture 21 Solving For X In An Arithmetic Sequence Question

Lecture 22 Calculate A Specific Term In An Arithmetic Sequence If Only Two Terms Are Given

Lecture 23 Get The Value Of N If The Sum Of The First N Terms Of The Sequence Is Given

Lecture 24 Working With An Infinite Geometric Series In Disguise

Lecture 25 Finding Out Which Term In A Quadratic Sequence Has The Greatest Value

Lecture 26 Calculating The Sum Of A Certain Number Of Terms In A Geometric Series

Lecture 27 Showing Why The Sum To Infinity Of A Series Exists

Lecture 28 Calculating A Certain Term In A Geometric Sequence When Only Two Terms Are Given

Lecture 29 Writing Down The Next Term In A Number Pattern That Has A Mixture Of Two Sequenc

Lecture 30 Determining The Formula For The Nth Term For A Number Pattern That Has A Mixture

Lecture 31 What To Do When You Have To Get The 500th Term And Your Calculator Gives You An

Lecture 32 How To Leave A Term In A Geometric Sequence In Simplified Exponential Form

Lecture 33 Writing Down The Value Of T70 – T69 Of A Quadratic Sequence

Section 3: Questions That Usually Require Multiple Steps

Lecture 34 Writing A Series In Sigma Notation

Lecture 35 Determining The Formula For The Nth Term Of A Quadratic Sequence

Lecture 36 Using The Properties Of A Parabola In A Quadratic Sequence Question

Lecture 37 Values Of N For Which A Quadratic Sequence Will Be Less Than A Certain Number

Lecture 38 Smallest Value Of N For Which The Sum Of The First N Terms Of A Sequence…

Lecture 39 Calculating The Value For An Arithmetic Sigma Notation Question

Lecture 40 Showing That The Next Term Of A Sequence Can Be More Than One Option

Lecture 41 Writing Down The Value Of A Term In A Sequence That Has Fractions And Zeros

Lecture 42 Determining The Sum Of The First 500 Terms In A Number Pattern That Has Fraction

Lecture 43 Calculating The First Term Of A Series Given In Sigma Notation

Lecture 44 Specific Term In A Quadratic Sequence That Is Represented By Figures

Lecture 45 Determining The Value Of “A” In The Formula Of A Quadratic Sequence

Lecture 46 Working With A Sequence Of The First Differences Of A Quadratic Sequence

Lecture 47 Proving The Sn Formula Of An Arithmetic Series

Section 4: Questions That Usually Require You To Use More Than One Formula

Lecture 48 How To Show That A Sequence Can Not Be Geometric

Lecture 49 For Which Values Of X Will A Sigma Notation’s Expression Exist

Lecture 50 Sum Of The Terms In The Arithmetic Sequence That Are Divisible By A Number

Lecture 51 The Values Of Two Terms When The First Difference Between Two Terms

Section 5: Slightly More Difficult Questions.

Lecture 52 Calculate T69 If T89 Is 23594 In A Quadratic Sequence Question

Lecture 53 Writing An Expression In Sigma Notation When No Specific Sequence Is Given

Lecture 54 Determining The Value Of Sequential Expression Up To A Certain Number Of Terms

This course is perfect for high school learners in Grades 10, 11, and 12 who want to master number patterns, sequences, and series for their exams. It’s also valuable for parents and tutors looking to support students with these challenging topics. Additionally, adult learners revisiting mathematics for personal growth or academic preparation will find the course engaging and easy to follow. Whether you're striving to improve your grades, strengthen your math foundation, or gain confidence in solving complex problems, this course is tailored to meet your needs!