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A triangular number or triangle number counts the objects that can form an equilateral triangle. 10 objects can be formed into an equilateral triangle.
These numbers added together make the 1000th triangle number, which is 500,500.
Triangle numbers are of the form (x^2+x)/2 So the 1000th triangle number is (1000^2+1000)/2 Which is 500500
When a number is multiplied by itself it is called the square of the number. It is called a square number as the number of dots or points represented by the number can be arranged in a square.