Triangular Numbers Calculator
Understanding Triangular Numbers
A triangular number is a number obtained by adding all positive integers up to a given integer. They are the numbers of dots in an equilateral triangle.
- The 1st triangular number is 1.
- The 2nd is 1 + 2 = 3.
- The 3rd is 1 + 2 + 3 = 6.
- And so on...
Formulas:
- To find the nth triangular number (Tn):
Tn = n * (n + 1) / 2 - To check if a number T is triangular, we find n:
n = (√(8T + 1) - 1) / 2
If n is a positive integer, then T is a triangular number.
Disclaimer: This tool is for educational purposes and works with positive integers.
Calculates the triangular number at position n.
Checks if a number is a triangular number.
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