Sigma Notation and Summation Notation

[@TheOrganicChemistryTutor]

Sequences - Free Formula Sheet: bit.ly/4eau2KQ Final Exams and Video Playlists: www.video-tutor.net/ Calculus 1 Final Exam Review: kzbin.info/www/bejne/jZ6lq6B-p9pqbtk

[@cw2818]

Thanks for making it simple. Pre-Calculus and Calculus can be daunting when taught by the wrong educator - teach our future.

[@seasonalfog]

You are such a good teacher. Saying this as someone who has been a student and a teacher. Of all the teachers I've had from pre K through grad school you definitely stand out as someone who understands the tacit skill of conveying complex information to a beginner

[@acediego99]

Man I'm taking O Chem and Calc 1 basically all asynchronous this past semester so I've been putting this channel on double duty. Thank you JG bro

[@woah3108]

How did it go bro? Any advice for someone about to do the same?

[@zetro8870]

@@woah3108 How did it go? 😂😂

[@undeadnedstark8330]

In my classes it took many days to teach this And u did it in 15 minutes ... Respect.

[@THEELEMENTKING]

I can’t tell why for certain, but this tutorial was one of the best I watched for summation. I really can’t describe it but it was just so good

[@marsyayusoff5022]

YSS RIGHT,I MEAN LIKE WHY I WASTED MY TIME AT ANOTHER WEB WHEN I CAN FINISH LEARNING RHIS IS JUST 15 MINS TO SAVE MY EXAM MARKS. Wish me luck for my exam next week 😇

[@KenerBonifac1]

I cant believe that for years i was stressed about (having to learn one day) Σ expressions. Their usage is literally understandable after watching a minute of this video. Thank you so much :))

[@theobserver314]

This is the most straight forward video I have ever!

[@justinmay2295]

Love it❤ thank you for the lesson, I really appreciate it👋 All the way from South Africa

[@eugenemathe5005]

Me to

[@matthewcox4139]

Same bruh 😂

[@hamzaejaz1648]

Bra same😂😂😂

[@flamebows5814]

haha i was born in Western Cape, SA now watching this in the southern USA

[@KENMATH]

PLC HAVE A LOOK AND SHARE MY KZbin CHANNEL KEN MATH

[@doris4469]

6:40 you could also replace the n by 100 in the formula (4*100 + 5 = 405) btw, I love your lessons! They honestly have helped me a lot, factoring is now easy for me because of you, and I know this one will be helpful as well! Thank you!

[@iamegg4064]

I was too thinking that

[@pranavchakala]

that's exactly what i thought lol

[@renukanandini9401]

Yes it's a lot easier

[@tahmedbinrahman2366]

man you read my mind.

[@RoyalProduction2021]

He mentioned that 6:10

[@haimepiphany7785]

I remember my favorite math teacher when I was in my 11th grade, this is the topic he discussed that I solved in my exam in his subject for the first time. I am one of those students who hates math but ofcourse there is always a math teacher you will love that despute you hate the subject unconciously you will love the subject because of the teacher.

[@VedhGajawada-jt3ri]

I am going to start high school in a month and they barely covered arithmetic and geometric sequences. Thanks to you, I was able to learn about them and I even was able to grasp the Σ notations. I found them very interesting! Thank You for teaching so well!

[@daniloskrrr8979]

I don't usually watch tutorial videos 15 mins long but this was an exception😍🙂

[@ceoof601]

LOVE THE LESSONS! you r actually really hard working thanks for the lessons

[@chair5438]

🤓🤓🤓

[@zkpbz]

when he started to find sum notations with algebraic and geometric sequences, I was just 😦🤯… never knew that. thank you sm🥺

[@maseeha.m.i]

This man saved my academic career, God bless

[@KENMATH]

PLC HAVE A LOOK AT MY YOU TUBE CHANNEL KEN MATH AND SHARE

[@Greatnessformen]

Am taking a test tomorrow i almost gave up till this video tnx so much

[@GibsonDrums]

How’d you do I am dying to know

[@kKawehii]

​@@GibsonDrumstht was 2 years ago he surely doesn't remember

[@LaunchingFlames]

Thank you. I haven't done sums in years, and this helped me with my sister's homework.

[@marcus2558]

Thank you so much! You are really helping me learn math in a time-efficient effective way! You're a G.

[@alexcardoso657]

You could have also found the last term in the series at 6:00 by plugging in the 100 for n in the 4n + 5 expression.

[@b-zar8912]

He mentioned that 10 seconds later at 6:10

[@zxxn1th]

i’m learning fourier series right now and this is SO helpful!!! thank you!!!!

[@DevilShower]

Thanks, I absolutely needed this to finish my Energy^2 formula.

[@amanofia]

Thanks for your work.You are making life of millions of high schoolers easier!!

[@astronomyandgaming]

This video is very useful Even as a 9th grader I understood all the concepts

[@gonzalodiaz-cano4122]

thank you so much i have a test tomorrow and u saved me

[@toastedsniper9248]

completely unrelated but ayyy bo3

[@GraddyG]

I'm watching from south africa.. thanks 😊👋 u made it easy to understand

[@mavisandoh6996]

Thank you very much for this lesson. I was almost lost in class but u made me love this course 😂😂.

[@raiylynmitchell5892]

12:48 it's not kind to laugh at others mistakes! that i know, but this gave me a good chuckle at 3 a.m in the morning studying for my exams lol

[@Triadii]

My school teachers never taught this even though we are expected to know how to do summation, thank you now I am not so lost.

[@jeffbb9061]

You're a good teacher man!!, Keep it up 🤗

[@bohlalemokoena8492]

Much love from South Africa 😤❤️

[@alphasaffi9230]

Sir if I tell you how your videos are helping me in my studies really i appreciate you a lot thank you sir you a great phylanthropis ❤😢🎉😮😅

[@jesus_loves_you-soomuch]

very sigma video

[@admiral7599]

One thing people don't mention is that this is also useful for computer science. Have a quiz on Recurrence Relations and Summations.

[@AnnoyedBowlOfSpaghetti]

works like a for loop

[@bhuvanchauhan09]

Thanks buddy I'm in 8th class and this thing comes in 11th class🤣, Now I can show it off to my friends.

[@user-TPBO]

the same but I'm in 6'th grade, and understood everything

[@RamaMohanBalivada]

Thanks for making this simple and easy to understand

[@crystalcastle5]

Thank you for doing what my math teacher gets paid to not do lmao. Best channel on this site.

[@xxoctixx]

it aint that its just your teachers dont get payed enough to care 💀

[@crystalcastle5]

@@xxoctixx Then look for other job instead of not caring about your students future 😊 what an excuse

[@xxoctixx]

@@crystalcastle5 never said i was a teacher XD

[@crystalcastle5]

@@xxoctixx Did i say you were 😂 it's hypothetical

[@TKBESTI]

Thanks, this really helps me surpass my final exam.

[@zsourlemon0750]

Not quite taking calc yet, but got curious and watched it anyways. Nice lesson!

[@devmesh5340]

Wooow, this is so much easier than I thought.

[@RuthWondwossen]

You don't understand how much you helped

[@Polipolikespickles]

Thanks everywhere i look for this it makes no sense to me and this makes it all seem so easy.

[@Rokanlevio]

hey thx for all of this its helped me pass the math test 😊

[@Life-iseasy]

at 10:35, should we write n as 4? given function there is (3/2)^(n-1) so why didn't we write n as 3 while calculating the sum, as the 4th term will equal to 27/8 not 81/16

[@kKawehii]

when calculating the sum you're taking n-1, but the formula uses n

[@nullbyte2316]

I trust all your videos, formulas and workings cause ur vids got me far. I really appreciate you man💯

[@wanderingfool7136]

Thank you so much for a clear and concise explanation 🙏🙏🙏

[@saliya69]

Nice lessons. Thanks I barely could understand this but you made it clear👍

[@betielyonas8649]

the best teacher ever

[@MsBona]

More videos to be uploaded ,thank you sir.great help po .

[@kKawehii]

one question: are there problems where the common difference or ratio are not found on the problem?

[@Costimz]

Please, i really loved this video.... i wanted tonask if they give me a sequence, how will i be able to find the equation joining them if the have different differences or different ratios eg. 2,5,9,14,20,27,35 and 1,3,12,60,360,2520,20160 respectively.... it would be of great help to have a video on this... Thanks

[@edwardmaseko3593]

Thanks I'mma need this next year for my exam 🤧🤧😭😭😭

[@slipper_0980]

Thank you I am in I don’t know what people in America call it I think 9th grade ? And this really helped me greets from the Netherlands ❤️🇳🇱

[@slipper_0980]

Sorry I googled it and I’m 13 and in 7th grade

[@asfiyazainab2184]

This video was so so helpful, thank you so much!!

[@BigMobe]

Might not mean much but I found this useful while playing Grand Theft Auto Online. I noticed that amount of points needed to progress to the next rank in the Arena War was the current rank multiplied by 10 plus 50. I'm at 440 and want to get to 500 so I need ((440*10+50)+(499*10+50))/2*(500-440) which is 284700 points to reach my goal. If I average 145 points a match then I will need about 2000 matches.

[@ibradabozo1]

You are amazing! Keep up the good work

[@eliselewis]

EXTREMELY helpful!! Thank you!

[@lovelysisters7892]

i have no idea with this video it is very helpful thanks sir.

[@mohammedhafiz3137]

Very well explained. Thank you

[@odidiemadula9844]

simple & understandable ! thank youy

[@MAXCRITICS]

Imagine kids typing down sigma then they somehow end up here... They probably won't forget this experience

[@darshanimahanama6790]

Nice sir, I can understand you correctly ❤

[@khuthadzodemana3944]

This is so helpful 🙏 Thank you

[@ezeqielramirez8016]

Didn't expect this symbol to be this simple

[@cacto1086]

I am watching this before my exams wish me luck

[@ivanoperkunic7852]

this has been misinterpreted as something else in 2024

[@dyandrra]

brainrot

[@JustWierd-YT]

​@@dyandrrafacts

[@keneilwekholofelo7197]

This was really helpful... Thanks ❤️

[@justindigginsbradly7758]

If the constants were negative would the formula still be plus or will it go negative??

[@noobwaysgamingnoob3231]

мне нравится твое видео

[@appiahisaac9690]

Very informative Thanks so much

[@alihesham8167]

They took sigma and infected it with brainrot 😔, protect pi before it meets the same fate

[@smoothlikebutter3668]

What if the N from the right side is unknown and has also an x exponent?

[@rosette_renah]

Nice video,as always,,thanks❤

[@felixcat4346]

Thanks for your educational posts.

[@nhowie8503]

In fact we all understand we all just need to know how to do it😊

[@arafjalil7245]

Thank you from Bangladesh 😊

[@ranveerboi]

uhm, the partial sums formula isn't working for the sequence 4∑n=1, 2n+1, I end up with 24 from adding and 26 from partial sums! Please help me with this, because I don't understand if this is a mistake or i did it wrong.

[@Rokanlevio]

btw in the equation at the begining n was 2 would it be 2 to the power of 2 and then 2 to the power of 4 or would it still go up by one ?

[@aka3673]

10:30 r>1 so you should use rn-1 instead of 1-rn

[@KENMATH]

PLC HAVE A LOOK AT MY YOU TUBE CHANNEL KEN MATH AND SHARE

[@adamant06]

Sigma Notation Grindset

[@topileche6768]

W comment

[@RandomnessVortex]

This dude deserves $500,000❤❤❤

[@call_me_mushroom6360]

Thank you so much for your lessons😭😭😭🔥🔥

[@ieatwildbirds]

I love being a master of sigma

[@jassimmohammed6838]

Thank you so much you are explaining very good ❤️❤️

[@daychow4659]

I want to give you 100000 likes!!!!!! you are awesome!

[@epicstar86]

6:06 ...or just do 4*100+5 which also gives you 405

[@bestiesgaming6982]

Very nice explanation 👌 👍

[@Astrocosmicuniverse]

What if we wanted to subtract}?

[@palidushehan8471]

Thank u form sri lanaka 🇱🇰

[@pizzatime226]

I am astounded by the fragility of sigma

[@dre-oj1998]

7:55 when n=1 why is it to the power 0 and not 1?

[@notsuspicioususer4080]

Because he’s substituting n=1 into the exponent n-1. The n in n-1 is replaced with 1, so it becomes 1-1, which equals 0

[@padambista2799]

Hey i really like your videos and appreciate your work. But just want to ask you a question.. Could you answer by any chance? Is the value of (n) always 1??

[@ceoof601]

Doesn't always have to be it can take any vaue

[@tamposdaffodil529]

No

[@anilkumarsharma8901]

Summation general form for any series Geometric series Harmonic series Arithmetic Quadratic series Or any function???

[@favourgilbert3103]

Thanks a lot.... very helpful

[@danny_am]

So what if n is not equal to 1 but greater than 1, how will you calculate the sum of the series ?

[@Davidkunde]

This explains it all...thanks a lot

[@NancySam-vd5xh]

Thanks... God bless u.

[@novaPUBG_]

BRO THIS HELPED❤

[@leomabuku1904]

Is it possible to use summation formula for sigma notation to solve partial sums

[@Imposter7777]

What do you mean by partial sums?

[@Simplysurreal10]

Thanks sir this helps a lot 👍

[@j1440]

great explanation keep it up