# Triangular number

Ten pebbles arranged into a triangle

A triangular number is a number that is the sum of all of the natural numbers up to a certain number. When formed using regularly spaced dots, they tend to form a shape of equilateral triangle, hence the name.[1]

For example, 10 is a triangular number because 1 + 2 + 3 + 4 = 10.

The first 25 triangular numbers are: 0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120, 136, 153, 171, 190, 210, 231, 253, 276, 300, 325, 351, and so on.

A triangular number is calculated by the equation: ${\displaystyle {\frac {n(n+1)}{2}}}$ .

## References

1. "Triangular number". www.math.net. Retrieved 2021-06-07.