Arithmetic Sequences and Arithmetic Series - Basic Introduction

[@TheOrganicChemistryTutor]

Sequences - Free Formula Sheet: bit.ly/4eau2KQ Full 2 Hour 38 Minute Video: www.patreon.com/MathScienceTutor Direct Link to The Full Video: bit.ly/3gNQcHI Sequences and Series: www.video-tutor.net/sequences.html

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Is this on geometric progression

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facts

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[@eukiyvy]

0:29 explaining 2:00 means 4:36 finding the nth term 7:12 partial sum 11:41 sequence and series 14:06 activity 19:51 defined by formula 21:06 next n terms 22:01 first n terms given a1 and d 22:38 recursive formula 26:16 explicit formula 32:13 formula for the nth term 37:23 find sum of the first n numbers 38:45 sum of all even numbers 41:18 sum of all odd integers from n

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Why does he explain better than my chemistry teacher? Thank you so much, your videos are so underrated but keep it up, you can do what my teacher can't, teach.

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Unlucky

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Maybe he explains this better than your Chem teacher because this is a math video...Are you dumb?

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I am a nontraditional student. I started college at 38 - that's 20 years after graduating high school! I basically forgot all math lol. We are currently doing this and I was really struggling to get it, but your explanation really helped. It's honestly crazy that the education that I'm paying so much for (well, my employer is mostly paying for haha) isn't helping, but a free KZbin video does. Thank you so much!

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why so late??

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Good luck

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[@anuaritanjau6669]

For the sum in the few last questions, you can also use Sn=n/2[2a+(n-1)d] . You explain really well, thank you!

[@zunigaruth1978]

Comment puis-je l'utiliser?

[@ronaldzazu9595]

@@zunigaruth1978 n is the number of terms you need to add a is the first term d is the common difference

[@Taimaz_ikisuji]

Can you explain more?

[@defaliana3867]

​​@@Taimaz_ikisuji if we change 2a to a + a, it will be like this: Sn=n/2{a + [a+(n-1)d]} The a+(n-1)d is equal to An. So we can also modified it to Sn=n/2(a+An). It's the same formula that this video have been taught

[@AliBarisa]

Actually, I prefer the one used in the vedio. Because it reminds me that I am taking an average of the terms multiple times(n times). That way, it's easier to remember it.

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My pre-calc teacher taught me the sum of arithmetic sequences as Sn= n/2(a1+an). Your explanation makes so much more sense. It's funny I always come here after a lecture to get a better one.

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MR. Organic Chemistry Tutor, thank you for another awesome and basic introduction to Arithmetic Series and Sequences. These topics are common in mathematics and all the science fields. In Calculus II, there are multiple test that are used to determine convergence or divergence.

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He goes so deep into the topic that it requires to name it "Arithmetic sequences and Arithmetic sequences"

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Read it again 🤦‍♀️

[@Shadmannnn]

Arithmetic Sequences and Arithmetic Series - Basic Introduction

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@@emilyazzouz3337bc he edited it

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For me, 10 minutes worth of this video is the same amounts of one class session in my school.

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[@_helloworld_7070]

So for arithmetic sequence an =a1+(n-1) 1 subtract (n-1) 2 multiply n • d 3 proceed to Addition an =

[@_helloworld_7070]

For Geometric sequence an = a1 (r) n-1 1 n-1 2 r•n 3 multiplying a1 by r•n factors

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Probably the first lesson in my mathematics next school year, wish me luck.

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I like to compare the arithmetic sequence sum with Gauss Sum, which is by the way where the formula came from: Mr. Johann Carl Friedrich Gauss, a brilliant mathematician that defied so many math teachers...Great video, very complete. 🏆🏆🏆

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I got my first A on a math test this year thanks to your vids. Thanks so much.