Sigma Notation and Summation Notation

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  • Опубліковано 31 січ 2025

КОМЕНТАРІ • 340

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +26

    Sequences - Free Formula Sheet: bit.ly/4eau2KQ
    Final Exams and Video Playlists: www.video-tutor.net/
    Calculus 1 Final Exam Review: ua-cam.com/video/WmBzmHru78w/v-deo.html

  • @seasonalfog
    @seasonalfog Рік тому +31

    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

  • @cw2818
    @cw2818 4 роки тому +181

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

  • @acediego99
    @acediego99 4 роки тому +67

    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
      @woah3108 3 роки тому +3

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

    • @zetro8870
      @zetro8870 17 днів тому

      @@woah3108 How did it go? 😂😂

  • @undeadnedstark8330
    @undeadnedstark8330 2 роки тому +44

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

  • @THEELEMENTKING
    @THEELEMENTKING Рік тому +51

    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
      @marsyayusoff5022 Місяць тому +1

      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
    @KenerBonifac1 2 роки тому +47

    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
    @theobserver314 4 роки тому +30

    This is the most straight forward video I have ever!

  • @haimepiphany7785
    @haimepiphany7785 3 роки тому +6

    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
    @doris4469 3 роки тому +113

    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!

  • @VedhGajawada-jt3ri
    @VedhGajawada-jt3ri 5 місяців тому +1

    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!

  • @justinmay2295
    @justinmay2295 4 роки тому +244

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

    • @eugenemathe5005
      @eugenemathe5005 4 роки тому +8

      Me to

    • @matthewcox4139
      @matthewcox4139 4 роки тому +7

      Same bruh 😂

    • @hamzaejaz1648
      @hamzaejaz1648 4 роки тому +9

      Bra same😂😂😂

    • @flamebows5814
      @flamebows5814 4 роки тому +4

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

    • @KENMATH
      @KENMATH 4 роки тому +2

      PLC HAVE A LOOK AND SHARE MY UA-cam CHANNEL KEN MATH

  • @daniloskrrr8979
    @daniloskrrr8979 2 роки тому +9

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

  • @maseeha.m.i
    @maseeha.m.i 4 роки тому +6

    This man saved my academic career, God bless

    • @KENMATH
      @KENMATH 4 роки тому +1

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

  • @zkpbz
    @zkpbz 3 роки тому +2

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

  • @marcus2558
    @marcus2558 Рік тому +3

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

  • @ceoof601
    @ceoof601 4 роки тому +36

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

  • @Greatnessformen
    @Greatnessformen 4 роки тому +15

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

    • @GibsonDrums
      @GibsonDrums 11 місяців тому

      How’d you do I am dying to know

    • @kKawehii
      @kKawehii 5 днів тому

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

  • @LaunchingFlames
    @LaunchingFlames 8 місяців тому

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

  • @zxxn1th
    @zxxn1th 6 днів тому

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

  • @amanofia
    @amanofia 3 роки тому +5

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

  • @gonzalodiaz-cano4122
    @gonzalodiaz-cano4122 4 роки тому +4

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

  • @GraddyG
    @GraddyG 3 роки тому +1

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

  • @mavisandoh6996
    @mavisandoh6996 3 роки тому +1

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

  • @Triadii
    @Triadii Рік тому

    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.

  • @astronomyandgaming
    @astronomyandgaming 3 місяці тому +1

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

  • @jeffbb9061
    @jeffbb9061 3 роки тому +4

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

  • @bohlalemokoena8492
    @bohlalemokoena8492 3 роки тому +5

    Much love from South Africa 😤❤️

  • @alphasaffi9230
    @alphasaffi9230 Рік тому +1

    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 ❤😢🎉😮😅

  • @DevilShower
    @DevilShower 6 місяців тому +1

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

  • @bhuvanchauhan09
    @bhuvanchauhan09 Рік тому +2

    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
      @user-TPBO Рік тому

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

  • @alexcardoso657
    @alexcardoso657 3 роки тому +14

    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
      @b-zar8912 3 роки тому +4

      He mentioned that 10 seconds later at 6:10

  • @nullbyte2316
    @nullbyte2316 Рік тому +2

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

  • @RandomnessVortex
    @RandomnessVortex Рік тому +1

    This dude deserves $500,000❤❤❤

  • @RuthWondwossen
    @RuthWondwossen Рік тому

    You don't understand how much you helped

  • @TKBESTI
    @TKBESTI 11 місяців тому

    Thanks, this really helps me surpass my final exam.

  • @betielyonas8649
    @betielyonas8649 4 роки тому +1

    the best teacher ever

  • @admiral7599
    @admiral7599 3 роки тому +7

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

  • @edwardmaseko3593
    @edwardmaseko3593 4 роки тому +5

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

  • @Rokanlevio
    @Rokanlevio Рік тому

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

  • @crystalcastle5
    @crystalcastle5 2 роки тому +2

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

    • @xxoctixx
      @xxoctixx 2 роки тому

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

    • @crystalcastle5
      @crystalcastle5 2 роки тому +1

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

    • @xxoctixx
      @xxoctixx 2 роки тому

      @@crystalcastle5 never said i was a teacher XD

    • @crystalcastle5
      @crystalcastle5 2 роки тому

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

  • @devmesh5340
    @devmesh5340 3 роки тому +1

    Wooow, this is so much easier than I thought.

  • @RamaMohanBalivada
    @RamaMohanBalivada 9 місяців тому +1

    Thanks for making this simple and easy to understand

  • @jesus_loves_you-soomuch
    @jesus_loves_you-soomuch 4 місяці тому +15

    very sigma video

  • @wanderingfool7136
    @wanderingfool7136 2 роки тому +1

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

  • @saliya69
    @saliya69 2 роки тому +1

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

  • @Polipolikespickles
    @Polipolikespickles 5 місяців тому

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

  • @raiylynmitchell5892
    @raiylynmitchell5892 Рік тому +2

    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

  • @zsourlemon0750
    @zsourlemon0750 2 роки тому +1

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

  • @ezeqielramirez8016
    @ezeqielramirez8016 3 роки тому +3

    Didn't expect this symbol to be this simple

  • @ibradabozo1
    @ibradabozo1 4 роки тому +2

    You are amazing! Keep up the good work

  • @MsBona
    @MsBona 3 роки тому

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

  • @slipper_0980
    @slipper_0980 3 роки тому

    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
      @slipper_0980 3 роки тому

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

  • @nhowie8503
    @nhowie8503 2 місяці тому +2

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

  • @khuthadzodemana3944
    @khuthadzodemana3944 3 роки тому +2

    This is so helpful 🙏 Thank you

  • @BigMobe
    @BigMobe 2 роки тому

    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.

  • @asfiyazainab2184
    @asfiyazainab2184 3 роки тому +1

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

  • @arafjalil7245
    @arafjalil7245 8 місяців тому

    Thank you from Bangladesh 😊

  • @daychow4659
    @daychow4659 2 роки тому

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

  • @cacto1086
    @cacto1086 3 місяці тому +2

    I am watching this before my exams wish me luck

  • @romangezahegn-nr4gn
    @romangezahegn-nr4gn 18 днів тому

    Thank you so so much it was help full 🙏🙏🙏

  • @ieatwildbirds
    @ieatwildbirds 10 місяців тому +2

    I love being a master of sigma

  • @darshanimahanama6790
    @darshanimahanama6790 11 місяців тому

    Nice sir, I can understand you correctly ❤

  • @MAXCRITICS
    @MAXCRITICS 4 місяці тому +2

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

  • @keneilwekholofelo7197
    @keneilwekholofelo7197 3 роки тому +1

    This was really helpful... Thanks ❤️

  • @pizzatime226
    @pizzatime226 2 роки тому

    I am astounded by the fragility of sigma

  • @bestiesgaming6982
    @bestiesgaming6982 Рік тому

    Very nice explanation 👌 👍

  • @mohammedhafiz3137
    @mohammedhafiz3137 Рік тому

    Very well explained. Thank you

  • @lovelysisters7892
    @lovelysisters7892 3 роки тому

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

  • @eliselewis
    @eliselewis 2 роки тому +1

    EXTREMELY helpful!! Thank you!

  • @rosette_renah
    @rosette_renah 4 роки тому +1

    Nice video,as always,,thanks❤

  • @Costimz
    @Costimz 3 роки тому +1

    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

  • @odidiemadula9844
    @odidiemadula9844 3 роки тому +2

    simple & understandable ! thank youy

  • @call_me_mushroom6360
    @call_me_mushroom6360 3 роки тому

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

  • @jassimmohammed6838
    @jassimmohammed6838 3 роки тому

    Thank you so much you are explaining very good ❤️❤️

  • @appiahisaac9690
    @appiahisaac9690 4 роки тому +1

    Very informative
    Thanks so much

  • @aka3673
    @aka3673 4 роки тому +1

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

    • @KENMATH
      @KENMATH 4 роки тому

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

  • @Life-iseasy
    @Life-iseasy 3 місяці тому +1

    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
      @kKawehii 5 днів тому

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

  • @DumsaniNdlovu-f5b
    @DumsaniNdlovu-f5b 7 місяців тому

    Having a test on Saturday. Am afree man indeed

  • @felixcat4346
    @felixcat4346 4 роки тому

    Thanks for your educational posts.

  • @kKawehii
    @kKawehii 5 днів тому +1

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

  • @novaPUBG_
    @novaPUBG_ Рік тому

    BRO THIS HELPED❤

  • @adamant06
    @adamant06 2 роки тому +8

    Sigma Notation Grindset

  • @palidushehan8471
    @palidushehan8471 4 роки тому

    Thank u form sri lanaka 🇱🇰

  • @vshootinggod-_-7471
    @vshootinggod-_-7471 Рік тому +2

    My math teacher is making me watch this in class 💀

  • @fatimazahramaclmofficial2415
    @fatimazahramaclmofficial2415 2 роки тому

    Thanks our teacher

  • @Simplysurreal10
    @Simplysurreal10 3 роки тому

    Thanks sir this helps a lot 👍

  • @epicstar86
    @epicstar86 2 місяці тому

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

  • @ivanoperkunic7852
    @ivanoperkunic7852 7 місяців тому +22

    this has been misinterpreted as something else in 2024

  • @NancySam-vd5xh
    @NancySam-vd5xh 11 місяців тому

    Thanks... God bless u.

  • @validfire2
    @validfire2 4 місяці тому

    Luckily for yall we have to learn this when were grade 8

  • @lawrence1318
    @lawrence1318 2 роки тому

    At 12:30 you meant to say "when n is 2", not "when n is 1".

  • @Davidkunde
    @Davidkunde 3 роки тому

    This explains it all...thanks a lot

  • @favourgilbert3103
    @favourgilbert3103 2 роки тому

    Thanks a lot....
    very helpful

  • @kaizemikandjii1578
    @kaizemikandjii1578 4 роки тому +2

    Dahm when was this video when I had a test yesterday

  • @j1440
    @j1440 4 роки тому

    great explanation keep it up

  • @Phantom10_1
    @Phantom10_1 9 місяців тому

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

  • @thabangcj4498
    @thabangcj4498 Рік тому +1

    Thanks so much!

  • @stevenclarkbelmonte6873
    @stevenclarkbelmonte6873 2 роки тому

    Thank you bro what a legend

  • @ChristopherMncube
    @ChristopherMncube 9 місяців тому

    Thank you☺