The Amazing Concepts

A triangular number (triangle number) is a number that represents the pattern of dots arranged in a way that they form an equilateral triangle. An equilateral triangle (also known as a regular triangle) is the one in which all the three sides are of equal length. A triangular number is denoted by Tn that represents the number of dots. Mathematical Formula Below is the mathematical formula for a triangular number: where n is a positive number such as 1, 2, 3, 4, 5, ..... , n. Triangular Number Sequence Below is the triangular number sequence: [1, 3, 6, 10, 15, 21, 28, 36, ..... ] Example For n = 1 Putting this value of n in the above mathematical formula: T1 = 1(1 + 1)/2 T1 = 1(2)/2 T1 = 2/2 T1 = 1 For n = 2 Putting this value of n in the above mathematical formula: T2 = 2(2 + 1)/2 T2 = 2(3)/2 T2 = 6/2 T2 = 3 For n = 3 Putting this value of n in the above mathematical formula: T3 = 3(3 + 1)/2 T3 = 3(4)/2 T3 = 12/2 T3 = 6 For n = 4 Putting this value of n in the above mathematical formu...