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Audio Format: 140 ( High )
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Date : 1732224254655 - unknown on Apple WebKit
Mystery text : dHRTbDhiTW13S0EgaSAgbG92ICB1IGV1LXByb3h5LnBva2V0dWJlLmZ1bg==
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95,767 Views • Jun 13, 2024 • Click to toggle off description
This is a short, animated visual proof demonstrating the infinite alternating geometric series formula for any positive ratio r with r less than 1 and with positive first term a. This series is important for many results in calculus, discrete mathematics, and combinatorics.
To buy me a coffee, head over to www.buymeacoffee.com/VisualProofs
Thanks!

For a slower, wide format version of this video (without words), see    • Alternating Geometric Series (visual ...  

Also, check out my playlist on geometric sums/series:    • Geometric Sums  

This animation is based on a proof by The Viewpoints 2000 group from the October 2001 issue of Mathematics Magazine page 320 (www.jstor.org/stable/2691106 ).

#mathshorts​ #mathvideo​ #math​ #calculus #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #geometricsums #series #infinitesums #infiniteseries #geometric #geometricseries


To learn more about animating with manim, check out:
manim.community/
Metadata And Engagement

Views : 95,767
Genre: Education
License: Standard YouTube License
Uploaded At Jun 13, 2024 ^^


warning: returnyoutubedislikes may not be accurate, this is just an estiment ehe :3
Rating : 4.913 (145/6,493 LTDR)

97.82% of the users lieked the video!!
2.18% of the users dislieked the video!!
User score: 96.73- Overwhelmingly Positive

RYD date created : 2024-08-19T08:47:40.547364Z
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Nyo connections found on the description ;_; report an issue lol

81 Comments

Top Comments of this video!! :3

@circle-of-5ths

5 months ago

When people say "math is beautiful," things like this are what they mean.

453 |

@HermesAngel

4 months ago

I'll be really honest. I have no idea what you're talking about, but I like listening to you talk about it

18 |

@raymitchell9736

5 months ago

The isosceles triangle is so underrated LOL

124 |

@DanielPoupko

5 months ago

That was your best one yet. Brilliant.

36 |

@jedsonguedes

5 months ago

Probably the best visual proof of this channel so far!

33 |

@Kiran_Nath

3 months ago

This is really beautiful to watch... beholden to such a sight.

2 |

@virushk

5 months ago

You sir are a genius, this explanation was a masterclass

8 |

@andrewkarsten5268

4 months ago

My analysis book had a picture of this for the cover

3 |

@grooveseeker6269

4 months ago

This left me with mouth wide open

11 |

@gusthomas6872

5 months ago

this is an awesome proof

4 |

@ezrad5273

5 months ago

this is so useful in my daily life.

1 |

@AK-kz8pe

3 months ago

Beautiful.

1 |

@vennstudios9885

4 months ago

Basically

Summation to infinity n=0 of
A×(-r)^n
§ is stand in for summation because no symbol in keypad :(
Or just Aק-r^n

2 |

@31.DiepAnhTuan-bx4cg

4 months ago

Good good thanks for the information brother

|

@randomproductionscj587

5 months ago

My first thought was - who tf uses y=-rx+a rther than y=-mx+c

3 |

@MrBrelphox

5 months ago

That's wild

15 |

@jamium

5 months ago

Does this correspond to r being a negative number? This is a beautiful animation, is it manim

7 |

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