Table of Contents
Table of Contents
- Triangular Numbers
- Adding Triangular Numbers
- Summary
- What’s Next?
In the previous segment, we learnt about the properties of square numbers. In this segment, we will look at triangular numbers.
What is a Triangular number?
A number whose dot pattern can be arranged as a triangle is a Triangular number. So the numbers, 3, 6, 10, 15 are some of the examples of triangular numbers.
1 3 6 1 1
Triangular numbers
Although number 1 is represented by a single dot, it is also considered a triangular number.
Adding triangular numbers
The sum of two consecutive triangular numbers is always a square number.
For example,
1 and 3 are consecutive triangular numbers.
1 + 3 = 4, which is a square number that is, its dot pattern is a square. And 22 = 4
1 3 4
Example 1
6 and 10 are consecutive triangular numbers.