# Adding triangular numbers

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• 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.

## Related content

 Properties of Square Numbers Adding odd numbers Numbers between square numbers Sum of consecutive natural numbers Product of two consecutive odd or even natural numbers Some more patterns in square numbers Squares 01 – Basics

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