Geometric Sequences and their Sums [Discrete Math Class]

Опубликовано: 29 Апрель 2022
на канале: Mathematical Visual Proofs
975
45

This video is not like my normal uploads. This is a supplemental video from one of my courses that I made in case students had to quarantine. In this video, we define and investigate geometric sequences. We see how to find both recursive formulas and closed formulas for arithmetic sequences. Then we go a step further and describe how to find the closed formula for the sequence of partial sums of an geometric sequence (using the "multiply, shift, and subtract" process). We include a variety of visualizations as well.

Note that this video is part of a series kept in a playlist called [Discrete Math Class]:

   • Discrete Mathematics Course  

If you like this video, please consider subscribing to my channel and let me know in the comments if you'd like to see more like this.

This textbook for the course is the open-source textbook by Oscar Levin:
http://discrete.openmathbooks.org/dmo...


#combinatorics #sequences #closedformula #closedform #recurrence #recursion #recursiveformula #geometric #geometricsequence #multiplyshiftsubtract #summation #sigma #summationnotation #sigmanotation #partialsums #sums #math #manim #discretemathematics

To learn more about animating with manim, check out:
https://manim.community

_______________________________________
Background Music:
Undercover Vampire Policeman by Chris Zabriskie is licensed under a Creative Commons Attribution 4.0 license. https://creativecommons.org/licenses/...

Source: http://chriszabriskie.com/uvp/

Artist: http://chriszabriskie.com/


Смотрите видео Geometric Sequences and their Sums [Discrete Math Class] онлайн без регистрации, длительностью часов минут секунд в хорошем качестве. Это видео добавил пользователь Mathematical Visual Proofs 29 Апрель 2022, не забудьте поделиться им ссылкой с друзьями и знакомыми, на нашем сайте его посмотрели 975 раз и оно понравилось 45 людям.