Question

What are triangular numbers ?​

Answer 1

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A triangular number or triangle number counts objects arranged in an equilateral triangle. The nth triangular number is the number of dots in the triangular arrangement with n dots on a side, and is equal to the sum of the n natural numbers from 1 to n. Wikipedia

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Answer 2

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• A triangular number Tn is a figurate number that can be represented in the form of an equilateral triangular grid of elements such that every subsequent row contains an element more than the previous one.

• The representation of the numbers in the form of equilateral triangle arranged in a series or sequence. These numbers are in a sequence of 1, 3, 6, 10, 15, 21, 28, 36, 45, and so on.

• The numbers in the triangular pattern are represented by dots. The sum of the previous number and the order of succeeding number results in the sequence of triangular numbers.