3D Sum of Triangular Numbers (visual proof without words III)
This is a short, animated visual proof showing how to find the sum of the first n triangular numbers (which themselves are sums of the first n integers) using six three dimensional stacks of unit cubes.
If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualPr.... Thanks!
Here are some related videos with sums of triangular numbers: • Sum of Triangular Numbers I (visual p...
• Sum of Triangular Numbers II (visual ...
• Geometry of the Twelve Days of X-mas ...
This animation is based on a visual proof by Roger B. Nelsen from the November 1992 issue of The College Mathematics Journal (https://doi.org/10.2307/2686417 - page 417).
#manim #math #mathvideo #mathshorts #sequences #triangles #animation #theorem #pww #proofwithoutwords #visualproof #proof #triangularnumbers #sums #pww #proofwithoutwords #proof #algebra #finitesums #mathematics #mathvideo #mtbos
To learn more about animating with manim, check out:
https://manim.community
_____________________________
Music in this video:
Heroism by MaxKoMusic | https://maxkomusic.com/
Music promoted by https://www.free-stock-music.com
Creative Commons / Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0)
https://creativecommons.org/licenses/...
Watch video 3D Sum of Triangular Numbers (visual proof without words III) online without registration, duration hours minute second in high quality. This video was added by user Mathematical Visual Proofs 27 January 2024, don't forget to share it with your friends and acquaintances, it has been viewed on our site 2,771 once and liked it 180 people.