Geometric series are probably one of the first infinite sums that most of us encountered in high-school. When I first heard of an infinite sum(two or three years ago), I was really amazed that some of them would equal to a finite number. It seemed very strange that even if I keep adding numbers forever I would get a finite answer. At school I was just taught to plug the numbers into the formula, without fully understanding why or how it works.

In this video I go over some examples of geometric series and how we can get some insight on why it works by using visuals.

Thanks for watching~

P.S.
I will be moving to China for 5 months tomorrow, so I'm not sure if I will have an access to YouTube there, due to many sites being blocked by the government.

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MUSIC:

A time of wonder

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