Mathematics Grade 12 | VirtualX MasterClass – Course Module 1

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.