Sigma Notation and Summation Notation

This algebra and precalculus video tutorial provides a basic introduction into solving summation problems expressed in sigma notation. It also explains how to find the sum of arithmetic and geometric sequences.
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[@TheOrganicChemistryTutor]

Final Exams and Video Playlists: www.video-tutor.net/

[@cw2818]

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

[@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

[@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 RUclips CHANNEL KEN MATH

[@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?

[@bonifackener8026]

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 :))

[@undeadnedstark8330]

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

[@theobserver314]

This is the most straight forward video I have ever!

[@daniloskrrr8979]

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

[@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.

[@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

[@marcus2558]

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

[@yeabsirahenok5926]

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

[@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🥺

[@mavisandoh6996]

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

[@LaunchingFlames]

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

[@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

[@jeffbb9061]

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

[@Offic1alDevilShower]

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

[@zsourlemon0750]

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

[@saliya69]

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

[@GraddyG]

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

[@wanderingfool7136]

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

[@devmesh5340]

Wooow, this is so much easier than I thought.

[@RamaMohanBalivada]

Thanks for making this simple and easy to understand

[@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.

[@admiral7599]

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

[@bohlalemokoena8492]

Much love from South Africa 😤❤️

[@asfiyazainab2184]

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

[@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

[@amanofia]

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

[@Rokanlevio]

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

[@TKJAIGERE]

Thanks, this really helps me surpass my final exam.

[@edwardmaseko3593]

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

[@gonzalodiaz-cano4122]

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

[@toastedsniper9248]

completely unrelated but ayyy bo3

[@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 ❤😢🎉😮😅

[@eliselewis]

EXTREMELY helpful!! Thank you!

[@ibizo12]

You are amazing! Keep up the good work

[@RuthWondwossen]

You don't understand how much you helped

[@betielyonas8649]

the best teacher ever

[@MsBona]

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

[@khuthadzodemana3944]

This is so helpful 🙏 Thank you

[@odidiemadula9844]

simple & understandable ! thank youy

[@keneilwekholofelo7197]

This was really helpful... Thanks ❤️

[@lovelysisters7892]

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

[@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

[@mohammedhafiz3137]

Very well explained. Thank you

[@call_me_mushroom6360]

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

[@felixcat4346]

Thanks for your educational posts.

[@jassimmohammed6838]

Thank you so much you are explaining very good ❤️❤️

[@ezeqielramirez8016]

Didn't expect this symbol to be this simple

[@nullbyte2316]

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

[@darshanimahanama6790]

Nice sir, I can understand you correctly ❤

[@rosette_renah]

Nice video,as always,,thanks❤

[@appiahisaac9690]

Very informative
Thanks so much

[@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

[@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

[@adamant06]

Sigma Notation Grindset

[@topileche6768]

W comment

[@daychow4659]

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

[@bestiesgaming6982]

Very nice explanation 👌 👍

[@Davidkunde]

This explains it all...thanks a lot

[@Ab77704]

Thanks sir this helps a lot 👍

[@j1440]

great explanation keep it up

[@arafjalil7245]

Thank you from Bangladesh 😊

[@RandomnessVortex]

This dude deserves $500,000❤❤❤

[@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

[@novaPUBG_]

BRO THIS HELPED❤

[@NancySam-vd5xh]

Thanks... God bless u.

[@favourgilbert3103]

Thanks a lot....
very helpful

[@thabangcj4498]

Thanks so much!

[@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 ?

[@smoothlikebutter3668]

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

[@palidushehan8471]

Thank u form sri lanaka 🇱🇰

[@kaizemikandjii1578]

Dahm when was this video when I had a test yesterday

[@user-qg9qh5ts2z]

Having a test on Saturday. Am afree man indeed

[@fatimazahramaclmofficial2415]

Thanks our teacher

[@MrMcMemer]

I love being a master of sigma

[@pizzatime226]

I am astounded by the fragility of sigma

[@stevenclarkbelmonte6873]

Thank you bro what a legend

[@jacke5419]

Bruh how is this so easy😭 my teacher makes this so hard

[@Astrocosmicuniverse]

What if we wanted to subtract}?

[@ChristopherMncube]

Thank you☺

[@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

[@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.

[@danny_am]

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

[@jeandacondrillon2059]

4
Σ 4 1 + 2 + 3 + 4 = 10
n=1

[@lenday6253]

5:40 where does the minus 1 come from? how do we know that is needed in the sum?

[@chamahge3518]

the Sn and An formula is only for large numbers?

[@vshootinggod-_-7471]

My math teacher is making me watch this in class 💀

[@AG-dy4ur]

But how to sum n=1 to 100 for n²?

[@patrickman4514]

love this

[@alexewo180]

Fun fact writing in sigma notation doesn't make you a sigma

[@mysticscavenger6026]

🤓☝️

[@justsaadunoyeah1234]

No it does

[@Iloveyoukazuma]

Solving it does

[@TSFSNRNERLFEM]

Lmao I-😂

[@luxmilYT]

Σ notation 🗿

[@johndavidargente8833]

Taking my MA, THANKYOU

[@ahinsanipuni]

Thank you♥️♥️

[@E..シ]

Thank you, now i can solve the sigma notation problems🗿🗿

[@aiiesaaestrellado3863]

It's helpful, watch it

[@justindigginsbradly7758]

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

[@noobwaysgamingnoob3231]

мне нравится твое видео

[@AhmedElAbbas]

Thank you