Rating
Students
3
Duration
Unlimited Duration
Lectures
1
Videos
27 years, 9 months
Updated
January 15, 2025
Mathematics Grade 12 | VirtualX MasterClass – Course Module 1 focuses on Patterns, Sequences, and Series, a fundamental area in algebra and higher mathematics. This module builds on prior knowledge from Grade 11, deepening students’ understanding of arithmetic and geometric sequences, infinite geometric series, and their applications in real-world problem-solving.
Through structured lessons, step-by-step explanations, and interactive problem-solving, students will develop the skills needed to tackle advanced topics in calculus, finance, and engineering. This course also prepares learners for Grade 12 assessments and final examinations.
VirtualX MasterClass
0
46
Courses
3795
Students
This course consists of four structured lessons, each designed to enhance students' ability to analyze and apply sequences and series in both mathematical and practical contexts.
✔ Lesson 1: Arithmetic Sequences
- Understanding arithmetic sequences and their characteristics.
- Finding the general term of an arithmetic sequence.
- Calculating the sum of an arithmetic sequence.
- Applications in real-life scenarios, such as financial planning and construction.
✔ Lesson 2: Geometric Sequences
- Defining geometric sequences and their properties.
- Using the general formula for geometric sequences.
- Solving problems related to growth and decay models.
✔ Lesson 3: Infinite Geometric Series
- Understanding when a geometric series converges or diverges.
- Applying the sum formula for an infinite geometric series.
- Real-life applications, including finance, physics, and computing.
✔ Lesson 4: Applications in Problem Solving
- Applying arithmetic and geometric sequences to solve real-world problems.
- Exploring practical applications such as savings plans, investment growth, and physics-based motion problems.
- Developing a structured approach to tackling exam-style sequence problems.
Each lesson includes interactive exercises, real-world applications, assessments, and problem-solving tasks to ensure comprehensive understanding and mastery of Patterns, Sequences, and Series.
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- Lesson 1: Arithmetic Sequences Unlimited