In this video, we show an animation of perhaps the best and most iconic visual proof of the formula for the sum of the first n positive integers.
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To see more about this proof and a generalization, check out this video:
• A Dozen Proofs: Sum of Integers Formu...
This proof is attributed to the "ancient Greeks" by Roger Nelsen (referencing Martin Gardner) and can be found in Roger Nelsen's first compendium, "Proofs Without Words: Exercises in Visual Thinking:
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