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Math Made Simple – Aligned with CAPS

Number Pattern, Sequences and Series

Watch the lessons below and work through the topic at your own pace. Click on the button above to practice using our tests after watching.

Pause, rewind, and rewatch lessons whenever you need more practice.

1. Quadratic number patterns

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In this lesson, we break down how to identify a quadratic sequence using the second difference method and guide you step-by-step through finding the general rule for any pattern. You will learn simple, reliable techniques to calculate your position constants and confidently solve for any missing term or position in a sequence. Perfect for quick study sessions, this walkthrough includes clear explanations, visual examples, and practice exam questions to test your skills along the way.

Subtopics:

  1. 1. Quadratic number patterns

    In this lesson, we break down how to identify a quadratic sequence using the second difference method and guide you step-by-step through finding the general rule for any pattern. You will learn simple, reliable techniques to calculate your position constants and confidently solve for any missing term or position in a sequence. Perfect for quick study sessions, this walkthrough includes clear explanations, visual examples, and practice exam questions to test your skills along the way.

  2. 2. Arithmetic Sequences and Arithmetic Series

    Master arithmetic sequences and series with this comprehensive math revision video designed to boost your exam confidence. In this lesson, we explore how to identify linear patterns using a constant common difference and show you how to generate the general rule for any sequence. You will also learn how to transition from sequences to series, mastering the techniques needed to calculate the sum of a specific number of terms quickly and accurately. Filled with practical examples, step-by-step problem-solving, and essential test tips, this walkthrough simplifies both concepts so you can maximize your marks on exam day.

  3. 3. Geometric Series and Geometric Sequences

    Master geometric sequences and series with this quick math revision video. In this lesson, you will learn how to identify geometric patterns using a constant common ratio and find the general rule for any sequence. We also cover how to calculate the sum of a specific number of terms and determine when a series converges to a sum to infinity. Packed with step-by-step exam examples, this guide ensures you understand these exponential patterns and maximize your marks. Pause the video to practice along, and subscribe for more exam preparation!

  4. 4. Sigma notation

    This algebra and precalculus video tutorial provides a basic introduction into solving summation problems expressed in sigma notation. It also explains how to find the sum of arithmetic and geometric sequences.