In this lesson, you will learn about triangular numbers and their geometric interpretation. By arranging stones in equilateral triangular shapes, you can easily count the number of stones and produce triangular numbers. You will also see how the sum of two consecutive triangular numbers results in a square number, and learn how to solve recurrence equations to find the end triangular number. These easy solutions provide insight into some other mathematical topics, making the discovery of elementary results accessible to all.
Learn how to generalize a sequence and find related sums by using triangular numbers and their geometric interpretation.