Discrete Math - 2.4.4 Summation Properties and Formulas

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A great starting point for finding summations.

Video Chapters:
Introduction 0:00
Basic Properties 0:07
Summation of i 3:45
Summation of i-squared 6:09
Sum of a Geometric Series 8:10
Summary of Useful Summation Formulas 13:02
Up Next 13:45

Textbook: Rosen, Discrete Mathematics and Its Applications, 7e

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Ma'm i love you more than i love myself. Such a great human being. Thanks for all the explanations.

chilldude
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i still don't understand why you have 51.9k subs. you are so good at this i cant thank you enough

ashigbuijustice
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started math cause it is required for computer science but now I am falling in love with the theory

techjesus
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13:00 ah, the geometric series for 1/(1-x) and 1/(1-x)^2 are the same as their Maclaurin series. And I’d assume the same for 1/(1-x)^n in general, where n is a natural number.

CharlesGarnett
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Hey, I've srolled through the playlist and didn't see the 2.5 sections. Is it posted anywhere or there's no videos on it?

victoriahuynh
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Hi. I'm sorry but where does the variable r come from in the last basic property? Can't see it being used anywhere

IskorkaCookieLover
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When splitting the summation over two different index ranges, shouldn't the lower limit of the second summation be allowed to equal its upper limit? This is true of the first summation.

Because,

If j+1 must be an integer greater than 1, the smallest value it can take is 2.
If n must be an integer greater than j + 1, the smallest value it can take is 3.

And I'm thinking we should be able to split summations for which n=2.

warrenmarkham
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Hey do u have a video on change of variable? I am not able to find it if u do

gorebloodzz
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why is 2.5 not included my professor said its very important

TOXIC_RESHDI
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please set translation to arabic to understand you perfectly i need this please and thank you from lecture

كلمهربنا-غج
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Sis, I'm from the eastern continent. please keep some space for subtitles.

ragamerpro