When you square all the natural numbers you get (n/6)*(n+1)(2n+1) [Visual / Geometric Proof] Part 2
In this video I show to you visually and geometrically that when you square all the natural numbers up to n terms you get (n/6)*(n+1)(2n+1). This is part 2 of the complete proof. To access part 1 visit this link: https://youtu.be/QyMRREA_YPk
This proof can be used in conjunction with Further Pure Mathematics 1 material. It's a useful guide as to why (n/6)*(n+1)(2n+1) is true.
Relax for a couple of minutes or just think about what time is...
Date: 13/06/2015
Video by: Tiago Hands (https://www.instagram.com/tiago_hands/)
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https://www.youtube.com/watch?v=KfwNFQdx_K8
Epicycloids and their waveforms, Desmos graphing magic :: December 2020, Tiago Hands
For more maths art, visit: https://www.instagram.com/tiago_hands
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In this video I explain how to inscribe a circle within any random triangle using the information found in the book "Mathematics: From the Birth of Numbers", Jan Gullberg, Page 432.
You can see the images in this video at: https://www.instagram.com/p/CcfG9fYsYhJ/
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https://www.youtube.com/watch?v=8WMxQuZieEw
In this video I explain in great detail and STEP by STEP why the formula for the sum of an arithmetic series is S_n=(n/2)*[2a+(n-1)d]. My goal here on Youtube is to help you understand why certain mathematical formulas exist before you begin working with them. This, I believe, will give you a deeper understanding of mathematical principles.
If this video is a bit too complicated for you, then I would suggest watching the video below first - then returning here at a later date:
https://youtu.be/3p87wDxR0LM
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Thanks for watching!
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https://www.youtube.com/watch?v=6U_qxdBGIwU
In this video I demonstrate how you can sum up values associated with multiple name - all at once (Open Office 4). This video may be useful to bookkeepers, accountants, scientists, engineers and mathematicians.
If you like this video, do not forget to subscribe to my Youtube channel. You can also follow me at: https://www.instagram.com/tiago_hands
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https://www.youtube.com/watch?v=WFst-T997K4
What you *need* in order to follow this video series:
1. Algebraic skills {http://mathsvideos.net/useful-algebraic-formulas/}
You need to know that: √(ab) = √a√b
2. Trigonometry skills:
- Unit circle {https://scontent-lhr3-1.xx.fbcdn.net/v/t31.0-8/14324643_627264727441617_168387912534466908_o.jpg?oh=ea3f9cec2389ced6eaa76830057e7d85&oe=58FE04F9}
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https://www.youtube.com/watch?v=m0y9Rwn5h5c