Fibonacci Squares Sum (visual proof)
This is a short, animated visual proof demonstrating the sum of the squares of the first n consecutive Fibonacci numbers. #fibonacci #math #manim #mathvideo #calculus #mtbos #mathshorts #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #series #finitesums #finiteseries #geometric #squares
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• Finite Sums
This animation is based on a proof by Alfred Brouusseau from "A Primer for the Fibonacci Numbers by M. Bicknell and V.E. Hoggatt Jr (eds.). You can also find this proof in Roger Nelsen's first Proof Without Words compendium (page 83).
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Music in this video:
History Repeats Itself by FSCM Productions | https://fscmproductions.bandcamp.com
Music promoted by https://www.free-stock-music.com
Attribution 4.0 International (CC BY 4.0)
https://creativecommons.org/licenses/...
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