4 videos in "Summations"
Triangular Numbers & Sums of Sequences
Triangular Numbers & Sums of Sequences
460 views - 00:09:01
Part of video series Summations
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.
