It's all Greek to me. Sigma Notation.
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Lesson Summary:
In this lesson, you will learn about sigma notation and its applications in sequences, tetrahedral numbers, pyramidal numbers, and their relationships analytically and geometrically. By using generalizations and new ways to approach mathematical problems, you can create new understandings and generate new questions. You will become familiar with the properties of summations and how to factor any terms that do not involve the summation index. Additionally, the lesson explores the relation between triangular, tetrahedral, and pyramidal numbers, and how to find formulas for them using geometric demonstrations.
Lesson Description:
Learn about sigma notation, sequences, tetrahedral numbers, pyramidal numbers, and their relationships analytically and geometrically.
Additional Resources:
- The On-Line Encyclopedia of Integer Sequences - A very useful sequence look-up utility.
Questions answered by this video:
- What is sigma notation?
- How do you write sigma notation?
- What is a tetrahedral number?
- What is a pyramidal number?
- Is there a formula for tetrahedral numbers?
- Are there formulas relating tetrahedral numbers and pyramidal numbers?
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Staff Review
This video does a great job of explaining how to understand tetrahedral and pyramidal numbers geometrically, how they relate to each other, and how to use sigma notation to represent sequences. This is a very important lesson with a nice resource for learning some fundamentals about sigma notation and types of sequences.
