@mathvisualproofs: Finite Sums of Positive Integers In this video, we show an animation of a visual proof of the formula for the sum of the first n positive integers. This differs slightly from the more classic version (using two triangular stacks to form a rectangle). Instead, we use two triangular stack and a diagonal line to produce a formula for the sum. If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks! To see more related proof, check out these videos: https://youtu.be/mZujswzs7Qg?si=bulQkTRvlSy9MCrR https://youtu.be/eHbtc50-qXo?si=ztvGFf1G-dLzr-m3 I learned of this visual from Bob Palais: https://web.archive.org/web/20190607085735/http://www.math.utah.edu/~palais/sums.html #math #manim #sumformula #naturalnumbers #triangle To learn more about animating with manim, check out: https://manim.community

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Monday 07 September 2026 04:03:48 GMT