# Triangular number

## Figurate number / From Wikipedia, the free encyclopedia

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A **triangular number** or **triangle number** counts objects arranged in an equilateral triangle. Triangular numbers are a type of figurate number, other examples being square numbers and cube numbers. The *n*th triangular number is the number of dots in the triangular arrangement with *n* dots on each side, and is equal to the sum of the *n* natural numbers from 1 to *n*. The sequence of triangular numbers, starting with the 0th triangular number, is

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, 378, 406, 435, 465, 496, 528, 561, 595, 630, 666...

Figurate number

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