Channel: Think Twice

Category: Education

Tags: infinite geometric seriesvisualizationthink twiceeducationmathematicsmathsinfinitenumberssimplesumalgebraexplainedcalculusmathematics (field of study)geometric sequencedivergetutorialprooflimitsadditionsigmaeducationalnumberphilegeometric seriesfinitevisual mathematicsinfinite sumsanimationsequencedivergencearithmetic seriesconvergeexamplessequences and seriessciencegeometricpiinfinitymathwhat is infinitylogicpowers-1/12

Description: 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. _________________________________________________________________ Support my animations on: patreon.com/Think_twice _________________________________________________________________ Any further questions or ideas: Email - thinktwiceask@gmail.com Twitter - twitter.com/thinktwice2580 _________________________________________________________________ Programs used: - Cinema 4D - Adobe Premiere Pro _________________________________________________________________ MUSIC: A time of wonder youtube.com/watch?v=27w-GP6ZGF0