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1³+2³+3³+4³+5³+6³+7³+8³+9³+10³+11³+12³+13³+14³+15³+16³+17³+18³+19³+20³+21³+22³+23³+24³+25³+26³+...

youtube.com/@numberphile original

Ben Sparks with stunning visual proofs of some famous sums of series. More links & stuff in full description below ↓↓↓

More Ben on Numberphile: https://www.youtube.com/playlist?list=PLt5AfwLFPxWLDKmnxLg8477hrxY33LL6q

Ben Sparks: http://www.bensparks.co.uk/

Sum of the Integers (if you dare): https://www.youtube.com/playlist?list=PLt5AfwLFPxWK2zCU-4X1iuuu5m8hf6L1B

Geogebra files from this video...
Triangle numbers, sum of integers: https://www.geogebra.org/m/dmtqdkth
Sum of squares: https://www.geogebra.org/m/bx26yyac
Sum of cubes: https://www.geogebra.org/m/ytbpufrf

Books...
Why Don't Rabbits Rule the World: https://amzn.to/4h3yWhJ
Maths: 100 Ideas in 100 Words: https://amzn.to/3RIpB4n

Patreon: http://www.patreon.com/numberphile

Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet

We are also grateful for support from the Ben Delo Foundation - https://delo.org/

NUMBERPHILE
Website: http://www.numberphile.com/

Videos by Brady Haran

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