Geometric Series and Geometric Sequences - Basic Introduction

2021 ж. 15 Мам.
1 291 773 Рет қаралды

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
____________________________
Full 2 Hour Video:
• Geometric Series and G...
Join The Membership Program:
/ @theorganicchemistrytutor

Пікірлер
  • Full 2 Hour Video on Patreon: www.patreon.com/MathScienceTutor Direct Link to The Full Video: bit.ly/2Y1w9yP

    @TheOrganicChemistryTutor@TheOrganicChemistryTutor Жыл бұрын
    • God bless

      @-clipz-@-clipz- Жыл бұрын
    • why do you have to join the channel?

      @FaisalAl-Edaily@FaisalAl-Edaily25 күн бұрын
  • who else didnt study and is watching this right before a test

    @R3xi1iii@R3xi1iii Жыл бұрын
    • literally everyone

      @t4gguk@t4gguk Жыл бұрын
    • 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.

      @Jonesvvv@Jonesvvv6 ай бұрын
    • Before paper

      @multiplecontents@multiplecontents5 ай бұрын
    • yh!!😅

      @tha_zni.__@tha_zni.__5 ай бұрын
    • my final is in 17 mins

      @timdawe7757@timdawe77575 ай бұрын
  • Jist remembered this guy doesn't have any ads or sponsor breaks in his videos, what a legend! 👑

    @mohammadbahrampour3417@mohammadbahrampour34177 ай бұрын
    • There is💀

      @mohameddebo-6385@mohameddebo-6385Ай бұрын
    • Literally back to back 15 sec ads

      @datmufn@datmufn21 күн бұрын
    • Nah what?​@@datmufn

      @hatake_kakashi7711@hatake_kakashi771120 күн бұрын
  • If you don't always pay attention in class, videos like this are crazy helpful

    @buggs6608@buggs66082 жыл бұрын
    • Or.. if you have teacher that can't teach really well😌

      @nahhnever3135@nahhnever3135 Жыл бұрын
    • @@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

      @quotesdaily9815@quotesdaily9815 Жыл бұрын
    • @@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?

      @nahhnever3135@nahhnever3135 Жыл бұрын
    • 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

      @flashplayz1737@flashplayz1737 Жыл бұрын
    • also if u have a bad memory like me ahahahahha

      @moviecenter674@moviecenter674 Жыл бұрын
  • This guy sounds EXACTLY like Kirk Hammett. I thought no one else could sound like him. You are a true marvel, Mr. Hammett.

    @aideno2597@aideno25973 жыл бұрын
  • 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☺️

    @kingchecksking7515@kingchecksking75152 жыл бұрын
    • You're too lazy 🦥🦥🦥🦥🦥🦥🦥🦥

      @quotesdaily9815@quotesdaily9815 Жыл бұрын
  • "Hello everyone, this is your Daily dose of GEOMETRY"

    @mr.sandwich9073@mr.sandwich90733 жыл бұрын
    • Yes

      @SuongThol@SuongThol3 жыл бұрын
    • haha I've just figured out why I felt his voice so familiar

      @wokguysrandomstuff5535@wokguysrandomstuff55352 жыл бұрын
    • No

      @mz5790@mz57902 жыл бұрын
    • You are AWESOME!!!!! Thank you so much!!!

      @kristinakatalbas6438@kristinakatalbas64382 жыл бұрын
    • That's why i got overdose by the numbers

      @lol3705@lol37052 жыл бұрын
  • 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.

    @carolyndokes5350@carolyndokes5350 Жыл бұрын
  • I LOVE YOU THE ORGANIC CHEMISTY TUTOR PLS NEVER STOP MAKING THESE

    @reenaznawar7004@reenaznawar70042 жыл бұрын
  • this channel is honestly going to be responsible for me clearing my boards. thank you so much sir 🥰🥺👍🏻

    @nodreamisbig@nodreamisbig2 жыл бұрын
    • Samajh to padvi jaioye ne kaka

      @aartisalavi3577@aartisalavi3577 Жыл бұрын
    • God bless

      @-clipz-@-clipz- Жыл бұрын
  • Best teacher .Teaching us in a relax mood and Explaining Very well.

    @Do-Some-Change@Do-Some-Change Жыл бұрын
  • bro is the GOAT

    @Pariaaiisshhh@Pariaaiisshhh3 ай бұрын
  • 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!

    @Lexyvil@Lexyvil2 жыл бұрын
    • wait it matters if the sequence/series is finite or infinite?

      @mohamedelgaili9895@mohamedelgaili98955 ай бұрын
    • ​@@mohamedelgaili9895yes for geometric sequences it does

      @yuhye840@yuhye8405 ай бұрын
  • 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.

    @ekpenyongsimeon6942@ekpenyongsimeon69422 жыл бұрын
  • Thanks bro, you definitely differentiate sequence and series in a clear way.

    @LawambaeDomato@LawambaeDomato Жыл бұрын
  • Yay I love this channel it has videos on almost every topic

    @rssl5500@rssl55003 жыл бұрын
  • 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!!!

    @jasminealliahsilvido9111@jasminealliahsilvido91112 жыл бұрын
    • Hiii

      @pankajkumaryadav2219@pankajkumaryadav22195 күн бұрын
  • Thank you so much, sir! You taught me so well!

    @Maria-xk7wg@Maria-xk7wg2 жыл бұрын
  • your channel is the best seriously I've tried others but they are not consistent pls keep it up

    @moshoodoloruntola6212@moshoodoloruntola6212 Жыл бұрын
  • How did you know I needed this TODAY

    @rimlix939@rimlix9393 жыл бұрын
    • hi

      @mithil5180@mithil51803 жыл бұрын
  • Wow, this is EXACTLY what I need right now!

    @krakrasivo1086@krakrasivo10863 жыл бұрын
  • Thanks to this channel ☺️ I am able to be confident about my lessons and I can easily cope with it

    @acemarvin2006@acemarvin2006 Жыл бұрын
  • 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.

    @jonathan-ww3sx@jonathan-ww3sx3 жыл бұрын
    • Please make study playlists public. It helps alot of people

      @osamaanees8406@osamaanees84062 жыл бұрын
    • yes please bro send your playlist link

      @agustine1239@agustine12392 жыл бұрын
  • You are the best and most helpful teacher.

    @controller_player3868@controller_player38683 жыл бұрын
  • Just used this to review! Solved along with you and did the seatworks as well! Thanks for the video!

    @skysanchez1574@skysanchez1574 Жыл бұрын
  • This is the most useful online lesson I have ever done in my life of sequence and series

    @hasibulpradhan8206@hasibulpradhan8206 Жыл бұрын
  • 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

    @holywaturr8270@holywaturr8270 Жыл бұрын
  • Thank you for sharing this knowledge. I think it is a good gift for general students.

    @SuongThol@SuongThol3 жыл бұрын
  • 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.

    @lc1777@lc17773 жыл бұрын
  • Everyone should say thanks to him

    @flix5033@flix50333 жыл бұрын
  • This channel helped me study so much tysm!!!!!!!

    @spookeryt302@spookeryt3023 жыл бұрын
  • This is a very good explanation. May God bless you sir 👏👏

    @herthequeen950@herthequeen9502 жыл бұрын
  • Thanks a lot professor... you make learning to be easy

    @chisengachisenga1683@chisengachisenga16838 ай бұрын
  • Thank you for making all these videos! You're awesome. Really. Your training came in handy in my MIT exam today 😊

    @jeunjetta@jeunjetta2 жыл бұрын
    • mit cool

      @bravesquid6183@bravesquid61832 жыл бұрын
    • Did you get selected?

      @smoothcriminal5650@smoothcriminal5650 Жыл бұрын
  • 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❤👌👍✨

    @emmanuelkaluba8636@emmanuelkaluba86362 жыл бұрын
  • 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

    @lalouyaakoubi3184@lalouyaakoubi31842 жыл бұрын
  • you need a nomination for how helpful you are to the community

    @nezsa628@nezsa62810 ай бұрын
  • Thank u for clearing why we cannot find sum of infinte series... God bless you:)

    @avinashlwalikar3106@avinashlwalikar31062 жыл бұрын
  • This channel is a game changer😭💖

    @no_one9127@no_one91272 жыл бұрын
  • THIS GUY HAS BEEN SAVING MY LIFES FOR YEARSS. congrats on 3 million subs

    @senseicheems3270@senseicheems32703 жыл бұрын
    • NOT SAVING LIVES BUT HELPING TO PASS YOUR EXAM

      @aashsyed1277@aashsyed12773 жыл бұрын
  • Please nobody should come here and DISLIKE this video!

    @emmafrank6690@emmafrank66903 жыл бұрын
  • Using this to study the day before my ACT Smart~

    @WinterJV@WinterJV2 жыл бұрын
  • Thank you so much Sir.. Helped me a lot now I understand and I’m so happyyyyy

    @ranransisor4842@ranransisor4842 Жыл бұрын
  • i find math enjoyable now. thank you.

    @migkool1051@migkool10512 жыл бұрын
  • I literally love you you helped me pas my test !!!

    @jewelllmami@jewelllmami Жыл бұрын
  • You solved all my problems by 2:30. Thank you.

    @HaLyGjQdTpReMnKmW2X@HaLyGjQdTpReMnKmW2X2 жыл бұрын
  • 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

    @killab5952@killab59522 жыл бұрын
    • This is a very nice explanation. May God bless you sir .

      @herthequeen950@herthequeen9502 жыл бұрын
    • what here in china we are doing this in grade 10 What is wrong with our education system?

      @user-nf1bz3sn4z@user-nf1bz3sn4z Жыл бұрын
    • @@user-nf1bz3sn4z 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

      @neutronzz3543@neutronzz3543 Жыл бұрын
    • In Philippines, we're doing this on grade 10, is our education system messed up?

      @NolrizTheGamer@NolrizTheGamer Жыл бұрын
    • Really because I'm in America grade 8

      @Corbin_Fisher@Corbin_Fisher Жыл бұрын
  • Thank you, i have a quiz tomorrow, and this really helped me alot🥰

    @ZypherGamingYT@ZypherGamingYT Жыл бұрын
  • I have learnt more through this channel than school and coaching combined

    @nijhumchowdhury4401@nijhumchowdhury44012 жыл бұрын
  • words alone cant explain how you help 🔥🔥🔥🔥

    @user-gt9mw3ou9e@user-gt9mw3ou9e5 ай бұрын
  • wow i am confident now to participate in my class because of your vid tutorials thank you

    @itaimuguti1180@itaimuguti11802 жыл бұрын
    • How did it go?

      @Hiphopedits78@Hiphopedits78 Жыл бұрын
  • This was very informative.

    @bohlalenchabeleng1370@bohlalenchabeleng13702 жыл бұрын
  • you just saved my math grades. thanks alot

    @ambadeblau@ambadeblau2 жыл бұрын
  • thank you so much exactly what i was looking for.

    @axyz7220@axyz7220 Жыл бұрын
  • day before test lmao

    @centurion_ratslayer@centurion_ratslayer2 жыл бұрын
  • Thank you very much. It is very useful.

    @nyanlinnhtoo9284@nyanlinnhtoo92842 жыл бұрын
  • Amazing way of teachings

    @Onlygenius190@Onlygenius190 Жыл бұрын
  • thanks you for helpful solving the math problem

    @tyronjamesreynon356@tyronjamesreynon3562 жыл бұрын
  • i literally needed the last question to be done

    @abdullahelkelani5155@abdullahelkelani51552 жыл бұрын
  • I need this for an upcoming exam

    @awemanyfit@awemanyfit2 жыл бұрын
  • Thank you very much sir, I got a perfect score from this

    @zaynjordan6485@zaynjordan6485 Жыл бұрын
  • Love your videos thank u bro

    @destroyer1661@destroyer16613 жыл бұрын
  • Tysm im learning better from you than my actual teacher

    @thomasmark7182@thomasmark718211 ай бұрын
  • I'm 6minutes in and loving the Mark Whalberg vibe! I can watch this all day

    @georgemullins5206@georgemullins5206 Жыл бұрын
    • WOW that's awesome Part 2 sequence and series for grade 12 is available

      @emperortutorials8011@emperortutorials8011 Жыл бұрын
  • If i still don't understand geometric sequence ill just do geometry dash instead

    @mosquito4132@mosquito4132 Жыл бұрын
    • Same

      @Normalguythatisbored@Normalguythatisbored17 күн бұрын
  • Professor Organic Chemistry Tutor, thank you for an awesome introduction to Geometric Series and Sequences. Series and Sequences are powerful tools in Mathematics and Applied Engineering. Calculus II has a full chapter that deals directly with Series and Sequences. This is an error free video/lecture on KZhead TV with the Organic Chemistry Tutor.

    @georgesadler7830@georgesadler78302 жыл бұрын
    • Dud can u help me with this 1. 5. 25. 125 Sn didn’t work for it can u help me with solving them

      @noorking3941@noorking39412 жыл бұрын
    • @@noorking3941 I might be wrong and I know i am late but i believe it should be Sn = 1(1-5^3)/1-5

      @Devin9331_@Devin9331_ Жыл бұрын
    • @@noorking3941 I tried to create an Sn for it

      @Devin9331_@Devin9331_ Жыл бұрын
  • This was so helpful fr

    @shad0wstrife@shad0wstrife6 ай бұрын
  • what's the software used in this video ? any recommendations for the blackboard software for online teaching ?

    @raymondchew1331@raymondchew13312 жыл бұрын
  • 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.

    @Idrathernotsay879@Idrathernotsay8792 жыл бұрын
  • Understood what seemed like a mystery, thank you. My exam is tomorrow

    @olatundeakindolire5105@olatundeakindolire510525 күн бұрын
  • the only guy that gives me hope for passing calculus exam

    @riwirb4137@riwirb41372 жыл бұрын
  • 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

    @immortalkhid@immortalkhid Жыл бұрын
    • Nah that's crazy. We study this at 10th grade

      @NotAlways@NotAlways6 ай бұрын
  • Jesus Christ loves you 🥺

    @bbgr9239@bbgr92392 жыл бұрын
  • Hi, can you please make a part 3 for mcat general chemistry review? It has been several years since you made one :(

    @sunairaahmed3720@sunairaahmed37203 жыл бұрын
  • thank youu, saves me on my upcoming exam bcs i can't comprehend math in class ❤️

    @selene6064@selene6064 Жыл бұрын
  • Manshallah Thanks for all your Teachings sir.....❤

    @sarafasatar8167@sarafasatar81679 ай бұрын
  • you're a savior man

    @BF-rh1lw@BF-rh1lw Жыл бұрын
  • Bro is a chemistry, physics, algebra 1 and 2, calculus, geometry, and probably astronomy teacher in one

    @liveyourlife6911@liveyourlife6911 Жыл бұрын
  • Thank you:)

    @TheOnlyZackshadyK98@TheOnlyZackshadyK98Күн бұрын
  • Thank you sir👍

    @fariihaibrahim9451@fariihaibrahim94512 жыл бұрын
  • Saya suka cara anda menjelaskan. Thanks🙏👍

    @latihankalkulus@latihankalkulus Жыл бұрын
  • Thank you for this

    @shulamitahannadelacruz7802@shulamitahannadelacruz7802 Жыл бұрын
  • this guy saved me from anxiety last year and now im advance studying so that it wont happen again TY organic chemistry tutor ur the best

    @whiteshadow-plays3324@whiteshadow-plays3324 Жыл бұрын
  • Weldone Gd effort ❤

    @user-il7bf8ho6b@user-il7bf8ho6b4 ай бұрын
  • Made it to the 16K 👍

    @gameman01@gameman014 ай бұрын
  • Excellent teaching ...im 62, havent seen this stuff in 51 years, 14 year old kid.

    @derekcho2312@derekcho2312 Жыл бұрын
  • This video helped me so much, but I became really confused when you add A1 and A5 then divided by 2 and get three. Is this part of the solution? I would really appreciate you explaining it to me, thank you

    @marlenebaugh8078@marlenebaugh8078 Жыл бұрын
  • Thanks alot

    @FeruzaKalonova-bw7hb@FeruzaKalonova-bw7hb11 сағат бұрын
  • All of a sudden I'm eager to see how this guy looks🤔

    @luckyfire6683@luckyfire66833 жыл бұрын
  • Just one word to describe "superb"

    @user-si9mj2yi3z@user-si9mj2yi3z4 ай бұрын
  • So the rule |r| >1 in order to be convergence, is only valid for series and not for sequences?

    @thant.chosenthetakenking7257@thant.chosenthetakenking7257 Жыл бұрын
  • Sir I got 75% in calculus just because of your videos

    @Onlygenius190@Onlygenius190 Жыл бұрын
  • I wish math classes used to be like this

    @JPTuddao@JPTuddao2 жыл бұрын
  • thank you so much! gonna save my ass for the ap precalc test, my teacher didn't go over any of this stuff!

    @bamlam7801@bamlam78013 күн бұрын
  • Starting watching then I follow the instructions ma'am 🙏

    @denmarkvicentino169@denmarkvicentino1692 жыл бұрын
  • bring back memories of my childhood i used to solve this type of problem when i was in 4th grade

    @sanopann1896@sanopann1896 Жыл бұрын
  • Thank you!

    @brainstorming1369@brainstorming1369 Жыл бұрын
  • :D helps alot thank you

    @floresrayvin6061@floresrayvin60612 жыл бұрын
  • i swear you are a hero...

    @islamwaelmansour2763@islamwaelmansour27632 жыл бұрын
  • plz work on genetic linkage,cell division .... (biology )

    @myworld-wx9oh@myworld-wx9oh3 жыл бұрын
KZhead