Geometric Series and Geometric Sequences - Basic Introduction

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  • เผยแพร่เมื่อ 28 ก.ย. 2024
  • This algebra and precalculus video tutorial provides a basic introduction into geometric series and geometric sequences. It explains how to calculate the common ratio of a geometric sequence and how to determine the nth term of a geometric sequence. It explains how to write a general equation for a geometric series using a simple formula and how to calculate the partial sum of a geometric series as well as the infinite sum if the geometric series converges. if it diverges, the sum cannot be calculated. This video also highlights the difference between the arithmetic mean and the geometric mean. This video contains plenty of examples and practice problems.
    Get The Full 2 Hour Video on Patreon:
    / mathsciencetutor
    Direct Link to The Full Video:
    bit.ly/2Y1w9yP
    Sequences - Free Formula Sheet:
    bit.ly/4eau2KQ
    ____________________________
    Full 2 Hour Video:
    • Geometric Series and G...
    Join The Membership Program:
    / @theorganicchemistrytutor

ความคิดเห็น • 408

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  ปีที่แล้ว +60

    Sequences - Free Formula Sheet: bit.ly/4eau2KQ
    Full 2 Hour Video on Patreon: www.patreon.com/MathScienceTutor
    Direct Link to The Full Video: bit.ly/2Y1w9yP

    • @-clipz-
      @-clipz- ปีที่แล้ว

      God bless

    • @FaisalAl-Edaily
      @FaisalAl-Edaily 5 หลายเดือนก่อน +1

      why do you have to join the channel?

  • @Chillersnowman
    @Chillersnowman 2 หลายเดือนก่อน +41

    I just want to say that this guy is my childhood, I watch him every time I have a test in math, He is truly the GOAT.

  • @buggs6608
    @buggs6608 2 ปีที่แล้ว +309

    If you don't always pay attention in class, videos like this are crazy helpful

    • @nahhnever3135
      @nahhnever3135 ปีที่แล้ว +41

      Or.. if you have teacher that can't teach really well😌

    • @quotesdaily9815
      @quotesdaily9815 ปีที่แล้ว +13

      @@nahhnever3135 the problem most times is not your teacher because in the same class with you someone else will perform very well, why you all keep whining about teachers, the problem is that you can't learn

    • @nahhnever3135
      @nahhnever3135 ปีที่แล้ว +18

      @@quotesdaily9815 yeah it's good to assume something without knowing the true situation right? Fyi tho my friends cheat on every exam (cause they don't understand anything ofc) and the teachers don't do anything abt it so what can I do?

    • @flashplayz1737
      @flashplayz1737 ปีที่แล้ว +4

      Nah it’s just my teacher is a mean old hag who dosent like you if you don’t play sports and won’t help you

    • @moviecenter674
      @moviecenter674 ปีที่แล้ว +4

      also if u have a bad memory like me ahahahahha

  • @R3xi1iii
    @R3xi1iii ปีที่แล้ว +953

    who else didnt study and is watching this right before a test

    • @t4gguk
      @t4gguk ปีที่แล้ว +36

      literally everyone

    • @Bbbbbbbbbbhhhhhhh
      @Bbbbbbbbbbhhhhhhh 11 หลายเดือนก่อน +61

      Nah, my teacher just doesn’t make sense when he explains things most of the time to me, so I want to watch these videos to actually know what is going on.

    • @multiplecontents
      @multiplecontents 10 หลายเดือนก่อน +1

      Before paper

    • @tha_zni.__
      @tha_zni.__ 9 หลายเดือนก่อน

      yh!!😅

    • @timdawe7757
      @timdawe7757 9 หลายเดือนก่อน +13

      my final is in 17 mins

  • @kingchecksking7515
    @kingchecksking7515 3 ปีที่แล้ว +232

    I always run to your videos whenever I have difficulty understanding my math lessons, and so far your channel has never let me down❤️. I really appreciate your channel and one thing that I suggest which may improve your videos are Timestamps with purpose of the formula written at the top(ie. 'Getting the mean of a geometric sequence'). Hope you'll consider☺️

    • @quotesdaily9815
      @quotesdaily9815 ปีที่แล้ว

      You're too lazy 🦥🦥🦥🦥🦥🦥🦥🦥

  • @mohammadbahrampour3417
    @mohammadbahrampour3417 ปีที่แล้ว +253

    Jist remembered this guy doesn't have any ads or sponsor breaks in his videos, what a legend! 👑

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      @mohameddebo-6385 5 หลายเดือนก่อน +9

      There is💀

    • @datmufn
      @datmufn 5 หลายเดือนก่อน +6

      Literally back to back 15 sec ads

    • @hatake_kakashi7711
      @hatake_kakashi7711 5 หลายเดือนก่อน +3

      Nah what?​@@datmufn

    • @zzbkhrmv
      @zzbkhrmv 3 หลายเดือนก่อน +10

      @@datmufn these are you tube ads,and the guy is talking about ads IN the video,like he doesnt have any ads and sponsorships

    • @mrart2252
      @mrart2252 3 หลายเดือนก่อน +5

      @@datmufn stop exaggerating and showing hate
      ig u just are like the critics
      support the person to make more educational videos instead of complaining

  • @jasminealliahsilvido9111
    @jasminealliahsilvido9111 2 ปีที่แล้ว +25

    been watching this channel since 9th grade, now im a 1st yr college. thank you for all of the videos got good grades because of your channel!!!

  • @Lexyvil
    @Lexyvil 2 ปีที่แล้ว +21

    I wish I knew the finite geometric series formula existed, I always thought it did not matter if it was finite or infinite, and that all geometric series would simplify to a/(1-r). This made the most sense out of everywhere I looked. Thank you!

    • @mohamedelgaili9895
      @mohamedelgaili9895 10 หลายเดือนก่อน

      wait it matters if the sequence/series is finite or infinite?

    • @yuhye840
      @yuhye840 9 หลายเดือนก่อน

      ​@@mohamedelgaili9895yes for geometric sequences it does

  • @mosquito4132
    @mosquito4132 2 ปีที่แล้ว +12

    If i still don't understand geometric sequence ill just do geometry dash instead

  • @ekpenyongsimeon6942
    @ekpenyongsimeon6942 2 ปีที่แล้ว +4

    If any problems are decreasing in fear take bold steps to be confident to carry out anyway computation with clarity is your channel that inclines the solving it. Thank you so much for your kind explanation.

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    @krakrasivo1086 3 ปีที่แล้ว +10

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      @ManjunathHeraimatam 4 หลายเดือนก่อน

      But I won't love jesus

    • @ayanoshorts2853
      @ayanoshorts2853 4 หลายเดือนก่อน +1

      ​@@ManjunathHeraimatamok but God loves you though

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      @khtgamenlnc8821 3 หลายเดือนก่อน +1

      ​​@@ManjunathHeraimatam Jesus loves everyone even if no one loves him

    • @killstxr1
      @killstxr1 3 หลายเดือนก่อน +1

      Allah Taala and Holy prophet Mohammad do! ❤️

    • @burnttoast656
      @burnttoast656 หลายเดือนก่อน

      My generation scares me

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    @emmafrank6690 3 ปีที่แล้ว +5

    Please nobody should come here and DISLIKE this video!

  • @flix5033
    @flix5033 3 ปีที่แล้ว +5

    Everyone should say thanks to him

  • @holywaturr8270
    @holywaturr8270 2 ปีที่แล้ว

    Istg I didn't get anything from the lesson when Geometric sequence came. I know half of my class too. So thank you for this, You're such a life savior

  • @jeunjetta
    @jeunjetta 3 ปีที่แล้ว +11

    Thank you for making all these videos! You're awesome. Really.
    Your training came in handy in my MIT exam today 😊

  • @Idrathernotsay879
    @Idrathernotsay879 3 ปีที่แล้ว +6

    Why didn't we use the infinite sum formula thingy to solve the 5th question. Isn't the common ratio less than 1?
    Great job by the way Sir.

  • @lalouyaakoubi3184
    @lalouyaakoubi3184 2 ปีที่แล้ว

    As someone one who is studying American system in a country far far away from america , this channel is my only resource . it is my life saver

  • @AnonymousVenator
    @AnonymousVenator หลายเดือนก่อน

    I really fucking wish I discovered this guy earlier than an an hour before the test. Still a massive help though

  • @hasibulpradhan8206
    @hasibulpradhan8206 ปีที่แล้ว

    This is the most useful online lesson I have ever done in my life of sequence and series

  • @chisengachisenga1683
    @chisengachisenga1683 ปีที่แล้ว +2

    Thanks a lot professor... you make learning to be easy

  • @ZypherGamingYT
    @ZypherGamingYT 2 ปีที่แล้ว +1

    Thank you, i have a quiz tomorrow, and this really helped me alot🥰

  • @georgemullins5206
    @georgemullins5206 2 ปีที่แล้ว

    I'm 6minutes in and loving the Mark Whalberg vibe! I can watch this all day

    • @emperortutorials8011
      @emperortutorials8011 2 ปีที่แล้ว

      WOW that's awesome
      Part 2 sequence and series for grade 12 is available

  • @gamerofgamez4247
    @gamerofgamez4247 2 หลายเดือนก่อน +2

    Who else is a nerd and is watcging this over the summer because they want to test out of classes to get ahead. "Nobody, really?"

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    @riwirb4137 2 ปีที่แล้ว +1

    the only guy that gives me hope for passing calculus exam

  • @migkool1051
    @migkool1051 3 ปีที่แล้ว +1

    i find math enjoyable now. thank you.

  • @DeathIsYourWorstNightmare
    @DeathIsYourWorstNightmare 2 ปีที่แล้ว +1

    wow thank you so much! I need this on my 6th grade :D you explains better than my teacher in math your awesome and my teacher too even tho I can't understand

    • @NotAlways
      @NotAlways 11 หลายเดือนก่อน

      Nah that's crazy. We study this at 10th grade

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    @no_one9127 2 ปีที่แล้ว

    This channel is a game changer😭💖

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    @ellai7417 ปีที่แล้ว +1

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    @jewelllmami 2 ปีที่แล้ว

    I literally love you you helped me pas my test !!!

  • @buboypuzonjr25
    @buboypuzonjr25 16 วันที่ผ่านมา

    Thanks to you, I'm top 1 in math

  • @krissompson8228
    @krissompson8228 3 ปีที่แล้ว +2

    In the video "significant figures made easy" Isn't the last exercise supposed to be negative 1.2 times ten to the power of negative 10? The exercise starts at the last 4 minutes

  • @rickrolld9023
    @rickrolld9023 3 หลายเดือนก่อน

    his voice never ages

  • @centurion_ratslayer
    @centurion_ratslayer 2 ปีที่แล้ว +5

    day before test lmao

  • @emmanuelkaluba8636
    @emmanuelkaluba8636 3 ปีที่แล้ว

    This is very easy to comprehend and the elaboration was step by step which made it easy for me to understand.....from Zambia with thanks❤👌👍✨

  • @sunairaahmed3720
    @sunairaahmed3720 3 ปีที่แล้ว +3

    Hi, can you please make a part 3 for mcat general chemistry review? It has been several years since you made one :(

  • @abdullahelkelani5155
    @abdullahelkelani5155 3 ปีที่แล้ว

    i literally needed the last question to be done

  • @liveyourlife6911
    @liveyourlife6911 ปีที่แล้ว

    Bro is a chemistry, physics, algebra 1 and 2, calculus, geometry, and probably astronomy teacher in one

  • @BF-rh1lw
    @BF-rh1lw ปีที่แล้ว

    you're a savior man

  • @user-kz7cy3nd3z
    @user-kz7cy3nd3z 8 วันที่ผ่านมา

    best teacher

  • @SauloLogoipule
    @SauloLogoipule 13 วันที่ผ่านมา

    Thanks for your help and sharing your thoughts for us❤so,may Lord give more knowledge ❤❤❤❤

  • @Stickymozerella
    @Stickymozerella 7 วันที่ผ่านมา +1

    We got exam tomorrow GL everyone

  • @t.Dramatix
    @t.Dramatix 3 ปีที่แล้ว +1

    thank god, i have no idea what i am doing in my pre-calc class xD

  • @kelZ333_
    @kelZ333_ ปีที่แล้ว

    Exams are tomorrow so gotta prepare

  • @1973Ganesh
    @1973Ganesh 3 ปีที่แล้ว +2

    Does anyone have any study tips?

    • @1973Ganesh
      @1973Ganesh 3 ปีที่แล้ว

      Kaj reply?

    • @anthm9908
      @anthm9908 2 ปีที่แล้ว +1

      I know this is late...but i write down what I'm bad at and every weekend I'll study one of the things I'm bad at for an hour

    • @1973Ganesh
      @1973Ganesh 2 ปีที่แล้ว

      @@anthm9908 Thanks

  • @bohlalenchabeleng1370
    @bohlalenchabeleng1370 2 ปีที่แล้ว

    This was very informative.

  • @dancarlodelossantos4759
    @dancarlodelossantos4759 3 ปีที่แล้ว

    NO WAY! you're the daily dose of internet guy!

  • @mohamedehab01
    @mohamedehab01 ปีที่แล้ว

    A living legend

  • @shad0wstrife
    @shad0wstrife 11 หลายเดือนก่อน

    This was so helpful fr

  • @JothamMubanga
    @JothamMubanga 2 หลายเดือนก่อน

    Why is it on the sum of infinity we multiply the 2 by 8 and 1\2?

  • @Dylan-dj4bh
    @Dylan-dj4bh 29 วันที่ผ่านมา

    just a question if I 6√729 and I answered 162 can I use a ratio again to get 27? Or am i doing this wrong??

  • @thant.chosenthetakenking7257
    @thant.chosenthetakenking7257 2 ปีที่แล้ว

    So the rule |r| >1 in order to be convergence, is only valid for series and not for sequences?

  • @segfault1337
    @segfault1337 9 หลายเดือนก่อน

    It’s exam season babyyyyy

  • @TheOnlyZackshadyK98
    @TheOnlyZackshadyK98 4 หลายเดือนก่อน

    Thank you:)

  • @MorufatShofowora
    @MorufatShofowora 11 หลายเดือนก่อน

    Pls if we want to solve this question how am I supposed to solve it (3_x) +6+(7x_5)

  • @brainstorming1369
    @brainstorming1369 2 ปีที่แล้ว

    Thank you!

  • @chrisantor1479
    @chrisantor1479 2 ปีที่แล้ว

    It is very understandable

  • @fariihaibrahim9451
    @fariihaibrahim9451 2 ปีที่แล้ว

    Thank you sir👍

  • @EverydayScience-49
    @EverydayScience-49 3 หลายเดือนก่อน

    Sounds like the speaker has a candy in mouth 😁

  • @Binbiinbinbin
    @Binbiinbinbin 2 ปีที่แล้ว +1

    i have question. can you determine and state the type of sequence the pattern 1,3,9,27 represent?

    • @kaustuv57
      @kaustuv57 2 ปีที่แล้ว +1

      Geometric finite sequence

  • @queencece8666
    @queencece8666 3 ปีที่แล้ว +1

    Hi we love you

  • @anscam
    @anscam 2 ปีที่แล้ว

    but what if i already have the Sn? Sn= 2186, a1=2 r=3?

  • @oroniandecimus4883
    @oroniandecimus4883 ปีที่แล้ว

    11:08 just leaving a timestamp for another day

  • @temukaxd2037
    @temukaxd2037 2 ปีที่แล้ว

    How do I find q and Sn if all I have is a9÷a5=81 need help... Its a geometric sequence

  • @anshacolinbacang3630
    @anshacolinbacang3630 2 ปีที่แล้ว +1

    I'm a grade 5 student but i want hard problems.

  • @clairesolemni
    @clairesolemni ปีที่แล้ว

    how to find the common ratio without the first term? is that even possible? I don't know cuz our math teacher gave us an assignment and maybe he thought we can solve it without a clear explanation😃 I'm having an headache..

  • @inshalhaider5013
    @inshalhaider5013 2 ปีที่แล้ว

    Sir plz turn off the lines which you speak and these lines display on your vedio ..we can't able to get all steps, this hide lot of steps😐

  • @RojePuerto-kh6ns
    @RojePuerto-kh6ns หลายเดือนก่อน

    why we need to join just to see the full video ????😭😭😭😭😭😭😭😭

  • @belightforme6988
    @belightforme6988 2 ปีที่แล้ว +1

    I love and understand your Viedo but when I come to my book🤔😵

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    @vibhutg1919 2 ปีที่แล้ว +1

    i got 199/200 un my mocks cause of u lol

  • @mr.sandwich9073
    @mr.sandwich9073 3 ปีที่แล้ว +797

    "Hello everyone, this is your Daily dose of GEOMETRY"

    • @SuongThol
      @SuongThol 3 ปีที่แล้ว +3

      Yes

    • @wokguysrandomstuff5535
      @wokguysrandomstuff5535 3 ปีที่แล้ว +28

      haha I've just figured out why I felt his voice so familiar

    • @mz5790
      @mz5790 3 ปีที่แล้ว +4

      No

    • @kristinakatalbas6438
      @kristinakatalbas6438 3 ปีที่แล้ว +2

      You are AWESOME!!!!! Thank you so much!!!

    • @lol3705
      @lol3705 3 ปีที่แล้ว +2

      That's why i got overdose by the numbers

  • @aideno2597
    @aideno2597 3 ปีที่แล้ว +41

    This guy sounds EXACTLY like Kirk Hammett. I thought no one else could sound like him. You are a true marvel, Mr. Hammett.

  • @reenaznawar7004
    @reenaznawar7004 2 ปีที่แล้ว +29

    I LOVE YOU THE ORGANIC CHEMISTY TUTOR PLS NEVER STOP MAKING THESE

  • @Do-Some-Change
    @Do-Some-Change ปีที่แล้ว +33

    Best teacher .Teaching us in a relax mood and Explaining Very well.

  • @carolyndokes5350
    @carolyndokes5350 ปีที่แล้ว +53

    I have tried and tried to figure out the sequence and series information. I desperately found your video, and it is all crystal clear. Thank you so much. As a 47 year teacher, this 'new' math is confusing, BUT you made the vocabulary and the processes so simple. I can tutor now.

  • @nodreamisbig
    @nodreamisbig 3 ปีที่แล้ว +182

    this channel is honestly going to be responsible for me clearing my boards. thank you so much sir 🥰🥺👍🏻

    • @aartisalavi3577
      @aartisalavi3577 ปีที่แล้ว +1

      Samajh to padvi jaioye ne kaka

    • @-clipz-
      @-clipz- ปีที่แล้ว +1

      God bless

  • @rimlix939
    @rimlix939 3 ปีที่แล้ว +10

    How did you know I needed this TODAY

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    @luckyfire6683 3 ปีที่แล้ว +5

    All of a sudden I'm eager to see how this guy looks🤔

  • @killab5952
    @killab5952 2 ปีที่แล้ว +23

    I'm doing grade 12 This Year
    Mr you are really helping me a lot because everyday I'm using your clips to get more understanding of every topic i wanna learn thanks Tutor

    • @herthequeen950
      @herthequeen950 2 ปีที่แล้ว +2

      This is a very nice explanation. May God bless you sir .

    • @白キロ
      @白キロ 2 ปีที่แล้ว

      what
      here in china we are doing this in grade 10
      What is wrong with our education system?

    • @neutronzz3543
      @neutronzz3543 2 ปีที่แล้ว

      @@白キロ most schools in US do it in grade 10 or 11 his is different I assume he skipped precalculus or algebra 2 or maybe his school doesn't teach calculus so precalculus is his last high school math class

    • @NolrizTheGamer
      @NolrizTheGamer 2 ปีที่แล้ว

      In Philippines, we're doing this on grade 10, is our education system messed up?

    • @Corbin_Fisher
      @Corbin_Fisher 2 ปีที่แล้ว

      Really because I'm in America grade 8

  • @Pariaaiisshhh
    @Pariaaiisshhh 7 หลายเดือนก่อน +4

    bro is the GOAT

  • @lc1777
    @lc1777 3 ปีที่แล้ว +11

    I would really appreciate if you could do a video or two on principle of mathematical induction and use it to solve for some identities of Lucas numbers and Fibonacci sequence.

  • @gameman01
    @gameman01 9 หลายเดือนก่อน +2

    Made it to the 16K 👍

  • @bamlam7801
    @bamlam7801 4 หลายเดือนก่อน +1

    thank you so much! gonna save my ass for the ap precalc test, my teacher didn't go over any of this stuff!

  • @rssl5500
    @rssl5500 3 ปีที่แล้ว +6

    Yay I love this channel it has videos on almost every topic

  • @Slender13A5
    @Slender13A5 ปีที่แล้ว +1

    currently in an exam right now

  • @memories5075
    @memories5075 2 ปีที่แล้ว +1

    Face reveal boss when you get 10 million subscribers 🥰🥰😍😍

  • @beccarejuso9063
    @beccarejuso9063 2 ปีที่แล้ว +1

    thank you

  • @davidaustin902
    @davidaustin902 วันที่ผ่านมา

    Why would you have a formula for what is basically a root equation, then literally have a root equation inside of the equation that is pretty much the answer?
    This is rubbish to me.
    Example, 2, 4, 16, 32, 64 etc....
    If I want to find the 10th number, I STILL HAVE TO USE A SQUARE ROOT IN THE EQUATION....IT MAKES NO SENSE TO ME

  • @controller_player3868
    @controller_player3868 3 ปีที่แล้ว +5

    You are the best and most helpful teacher.

  • @xxsweatxx6945
    @xxsweatxx6945 29 วันที่ผ่านมา +1

    Okay ngl his voice is so 🤌🏻🤌🏻

  • @jonathan-ww3sx
    @jonathan-ww3sx 3 ปีที่แล้ว +32

    Thank you for each and every and upcoming vids that are yet to exist 🙏🙏🙏
    I literally have a playlist, a private one, with 162 videos saved and they’re things I need, which are ALL of your videos, THANKS.

    • @osamaanees8406
      @osamaanees8406 3 ปีที่แล้ว +5

      Please make study playlists public. It helps alot of people

    • @agustine1239
      @agustine1239 3 ปีที่แล้ว +2

      yes please bro send your playlist link

  • @avinashlwalikar3106
    @avinashlwalikar3106 3 ปีที่แล้ว +2

    Thank u for clearing why we cannot find sum of infinte series... God bless you:)

  • @Maria-xk7wg
    @Maria-xk7wg 2 ปีที่แล้ว +7

    Thank you so much, sir! You taught me so well!

  • @spookeryt302
    @spookeryt302 3 ปีที่แล้ว +3

    This channel helped me study so much tysm!!!!!!!

  • @Matt_Rsa
    @Matt_Rsa 3 ปีที่แล้ว +1

    My exam is in 2 hrs...

  • @Vlogsbymirkhan
    @Vlogsbymirkhan 2 ปีที่แล้ว +2

    Sir I got 75% in calculus just because of your videos

  • @awemanyfit
    @awemanyfit 3 ปีที่แล้ว +2

    I need this for an upcoming exam

  • @chem-jha6132
    @chem-jha6132 3 ปีที่แล้ว +2

    For me Out of all math topics Geometry is the hardest 🤧

  • @F10500
    @F10500 ปีที่แล้ว +1

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  • @jessamaeperucho5202
    @jessamaeperucho5202 3 ปีที่แล้ว +1

    For the example problem number 5., -2¹⁰=-1024