### 4 videos in "Summations"

## Triangular Numbers & Sums of Sequences

Triangular Numbers & Sums of Sequences

1813 views, 1 rating - 00:09:01

Part of video series Summations

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Learn how to generalize a sequence and find related sums by using triangular numbers and their geometric interpretation.

- How can you find the nth triangular number geometrically?
- Why is the sum of two consecutive triangular numbers equal to a square number?
- How are triangular and square numbers related?
- What is abstraction?
- What is generalization?

This video explains some very interesting geometrical and algebraic properties of triangular and square numbers. It shows a geometrical way of thinking about computing these numbers. Then, this video explains how sequences are generalized and how their sums can be found.