Floyd’s Triangle Sum Calculator
Use this calculator to find the sum of numbers in the n-th row of Floyd’s Triangle. It’s especially useful for math students and educators exploring number patterns. Just enter the row number and get the total instantly!
Floyd's Triangle Generator
Floyd’s Triangle Row Sum Formula
$$\text{Sum of Row}(n) = \frac{n(n^2 + 1)}{2}$$
This formula calculates the sum of all elements in the n-th row of Floyd’s Triangle. Here, n is the row number, and the expression n(n^2 + 1)/2 gives the total sum of that row’s elements.
Floyd’s Triangle is a triangular array of natural numbers arranged in rows where the first row has one element, the second has two, the third has three, and so on. This calculator helps you quickly determine the sum of all numbers in a specific row using a direct formula — no need to manually construct the triangle. For example, the 3rd row contains 4, 5, 6, and their sum is 15, which matches the formula result.