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THThe Gauss summation is a formula for quickly finding the sum of the first n natural numbers: 1 + 2 + 3 + … + n. It can be visualized using a single stepped triangular shape made of squares. Imagine n columns, where the first column has 1 square, the second 2, and so on, until the nth column has n squares. Inside this shape, you can fit a large inscribed triangle whose area is n^2/2. The remaining spaces consist of n half-squares, each with area 1/2, which together add up to n/2. Adding these two areas gives the total number of squares in the shape, which represents the sum of the first n natural numbers.
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