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.
Learn about sigma notation, sequences, tetrahedral numbers, pyramidal numbers, and their relationships analytically and geometrically.