Best sum visual proof?

Published: 18 January 2024
on channel: Mathematical Visual Proofs
37,498
2.4k

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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