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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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/...
Watch video Fibonacci Squares Sum (visual proof) online without registration, duration hours minute second in high quality. This video was added by user Mathematical Visual Proofs 15 September 2022, don't forget to share it with your friends and acquaintances, it has been viewed on our site 4,872 once and liked it 228 people.