Sequences and Series (Arithmetic & Geometric) Quick Review

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  • čas přidán 2. 04. 2019
  • Quickly review arithmetic and geometric sequences and series in this video math tutorial by Mario's Math Tutoring. We discuss the formulas for finding a specific term as well as the formulas for finding the sum of the series. We discuss the notation as well as recursive formulas for both arithmetic and geometric sequences. We also discuss summation notation and solving systems of equations when given 2 terms.
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Komentáře • 336

  • @MariosMathTutoring
    @MariosMathTutoring  Před 5 lety +93

    If you liked this video be sure to check out my Algebra 2 Midterm Review and Algebra 2 Final Exam Review here for more help: Algebra 2 Final Exam Review czcams.com/video/WulfLUfz4eQ/video.html

  • @rohanrao4854
    @rohanrao4854 Před 2 lety +95

    POV: You don't pay attention in Math and have a test the next day which is why you came to look for a review

  • @Troglodude05
    @Troglodude05 Před 4 lety +559

    I just learned more from this Video than my teacher has taught me in the past week in the first 59 seconds.

  • @captaingerbil1234
    @captaingerbil1234 Před 5 lety +257

    You're an awesome teacher. You explain what's actually happening during the process instead of just showing how to do it. This is so important for getting an intuitive understanding of what's really going on... which is the only way that I can learn anything.

    • @MariosMathTutoring
      @MariosMathTutoring  Před 5 lety +22

      Thanks Drake! I’m glad you like my videos and that they are helping you!

  • @Riyansh-Desai
    @Riyansh-Desai Před 6 měsíci +12

    00:01 Sequences are lists, series are sums.
    02:08 Formulas for finding terms in sequences
    04:09 Sum of arithmetic sequence formula explained
    06:12 Sequences can be described using arithmetic and geometric patterns.
    08:08 Sum of arithmetic series
    10:00 Geometric series converge when ratio between -1 and 1.
    11:53 Solving for arithmetic and geometric sequences
    13:55 Solving a system of equations using division and substitution.
    15:57 Understanding arithmetic and geometric series formulas
    17:48 Understanding infinite geometric sums and their ratios

  • @bashking4204
    @bashking4204 Před 4 lety +174

    My test is tomorrow so this is a huge lifesaver
    Keep up the good work 👏👏

  • @inhalemyants9569
    @inhalemyants9569 Před 3 lety +34

    Thank you, learning math through online curriculum is tougher than I thought, you really help make distinctions and metaphors that I would normally use; reading does not do the same thing.

  • @rororin_mochikoko1533
    @rororin_mochikoko1533 Před 3 lety +10

    Online classes suck so bad, I'm just glad youtube has this kind of videos to save my ass.

  • @ayushiranibarik7324
    @ayushiranibarik7324 Před rokem +9

    Tomorrow's my exam and I had to have a quick revision and this video helped me revise every single formula in just 19 minutes! Love how U can revise a long ass chapter in less than an hour whereas other youtubers take 1-2 hours and even advertise their channel. It's cool how u had no intro and dived directly into the topics which shows how u chose quality over quantity... I'm subscribing right away... and it's amazing how teachers from my own country (India) find it time taking to show the entire process and you can do it in minutes! Thanx Mario!!!! Your video's really a life-saver! NO cap!

  • @seemarida3939
    @seemarida3939 Před 3 lety +8

    this lesson is taught to students in middle school and continues in high school. not one teacher explained to me where the formula comes from. this helped a lot, thanks

  • @stevennguyen3939
    @stevennguyen3939 Před 5 lety +33

    THANK YOU! Absent for a few days and you caught me back up

  • @cazietodd1160
    @cazietodd1160 Před 3 lety +5

    I really love the way you explain where the formula for the arithmetic sequence came from! I am a math teacher and I will definitely be using that from now on! I am a big fan!

  • @leenabuaisheh2323
    @leenabuaisheh2323 Před 3 lety +3

    Online classes have been so difficult and confusing.......this is a full-on lifesaver

  • @zeynepbaykut8983
    @zeynepbaykut8983 Před 4 lety +41

    Why would people dislike??
    Awesome love it♥️

    • @MariosMathTutoring
      @MariosMathTutoring  Před 4 lety +7

      Glad you liked my sequences and series review video Zeynep!

    • @bgubs07
      @bgubs07 Před 9 měsíci

      Because he keeps saying "Air ith matic" instead of "Arithmetic"

  • @glasslicker2829
    @glasslicker2829 Před 2 lety +7

    Thank you so very much, I had to figure out the “Euclids’ method” for adding the sums in a geometric series, and your formula [Sn=A1(1-r^n) /1-r ] was very helpful in having me understand my teachers’ teachings.

  • @arway4766
    @arway4766 Před 3 lety +1

    THANK YOU SO MUCH! YOUR EXPLANATION IS VERY CLEAR, I UNDERSTOOD IT WELL.
    I DIDNT EVEN HAVE TO REPLY THE VIDEO OR MEMORIZE ANYTHING.
    YOURE APPRICIATED!!!

  • @samhenson8664
    @samhenson8664 Před rokem

    I really like how he explains the problem without adding the formula at first and then shows how it ties in to the formula, It makes so much more sense slowly adding in the variables

  • @epicfunnyvideos9289
    @epicfunnyvideos9289 Před rokem +1

    Three years later and students are still benefiting from this video.. This video taught me more than my school teacher haha... All the best!

  • @danicasharp9125
    @danicasharp9125 Před 2 lety

    the fact that u explained this better than any of my math teachers and friends amazes me, thank you so much!!

  • @oluchiokoli6403
    @oluchiokoli6403 Před 3 lety +4

    Thank you so much for this! I had no clue how to do this especially because of all the disruptions in teaching due to COVID-19 but you explain everything so well!

  • @justachildofGod
    @justachildofGod Před 3 lety +2

    It’s super hard to pay attention in class so I usually study on my own, but I didn’t understand, but when I watched this video, I understood!
    I don’t know how you teach it because this is really similar to the way my teacher taught it, but I only understood your way. Thank you so much

  • @juniorcyans2988
    @juniorcyans2988 Před rokem

    Very helpful! I couldn’t understand the difference between the summation and sequence or series. Now I get it after watching the series of videos you made! Thank you so much!

  • @robertsedgewick1266
    @robertsedgewick1266 Před 3 lety

    Great video. Content is simple enough, but the brilliant part is how you teach it to beginners!

  • @humayrakadir5853
    @humayrakadir5853 Před 2 lety +1

    Amazing video just what I was looking for to relearn a topic that I forgot without having to go through a long playlist of lectures

  • @aeliz9586
    @aeliz9586 Před 2 lety

    my entire math grade is really on your shoulders. I am super grateful.

  • @pumpkin_eater6916
    @pumpkin_eater6916 Před 2 lety

    This video helped out alot I'm finally starting to understand how to apply the theory to questions. I was able to solve one of my practice questions less than 5 minutes into this video. Thank you!

  • @vanessacastillo3219
    @vanessacastillo3219 Před 3 lety

    a math video has never helped me so much in my life, thank you!!!

  • @juliaquigley3718
    @juliaquigley3718 Před 5 lety +5

    Thank you so much! This video explains the topic so clearly and concisely, yet covers all the bases. Keep up the good work!

    • @MariosMathTutoring
      @MariosMathTutoring  Před 4 lety +2

      You’re welcome Julia! Glad you liked my sequence and series review video!

  • @aidanmckeon
    @aidanmckeon Před 4 měsíci

    I really like your style of teaching. Extremely clear and well presented.

  • @48_lamiyashamsudheen64

    your the definition of a teacher ,thank u sir it was very helpful

  • @satimy5695
    @satimy5695 Před 3 lety

    thank you so much! wouldn't have survived math class without this

  • @pacman4521
    @pacman4521 Před 3 lety

    Usually I don't comment on youtube but I HAD to comment on this video. Thankyou for explaining this concept 10 times better than my prof. I'm decent at math but this is one topic that makes me wanna flip so you helped a lot. Thankyou again.

  • @alinelermer6664
    @alinelermer6664 Před 2 lety

    Excellent explanation. You explain it so well and in such a friendly way! Thank you and greetings from Germany.

  • @Geb__
    @Geb__ Před 3 lety

    This is a lot easy than i first thought! great explanation, i learn through the theroetical side of things and i understood everything quite well! Thanks

  • @fromfilmtocode
    @fromfilmtocode Před 4 lety +14

    Playback speed at 0.75 and we are golden.

  • @oliviaaa2324
    @oliviaaa2324 Před 2 lety

    this is really really helpful. you're so so straightforward thank you so much

  • @rehamalfandi2003
    @rehamalfandi2003 Před 4 lety +1

    Thank you so much, I almost cried when I couldn't find anyone to help me with this in my native language, but then I found you, my savior. 😊
    And I study at home, so it's a difficult situation.

    • @MariosMathTutoring
      @MariosMathTutoring  Před 4 lety

      Reham, I’m glad my sequence and series video helped you understand these topics better! Welcome to the channel!

  • @ethanyang539
    @ethanyang539 Před 3 lety +1

    I understand this a lot more. Thank you!

  • @petrosfore8877
    @petrosfore8877 Před 3 lety

    Excellent! Needed this refresher. Just had to subscribe to support channel.

  • @williamunga
    @williamunga Před 8 měsíci

    You are the best Mathematics teacher in the world.

  • @swojnowski453
    @swojnowski453 Před 2 lety

    Always cool to come back to this video ;). Thank you for uploading.

  • @G0DSL4YER007
    @G0DSL4YER007 Před 4 lety +1

    @Mario's Math Tutoring, excellent video i must say. You helped me understand a topic that i was struggling to understand for the past 2 months or so.

  • @manwithhinge
    @manwithhinge Před 3 měsíci

    i cant describe how amazing this video is, 1000000/10 best teacher ever.

  • @marsbunni_
    @marsbunni_ Před 3 lety

    you sir are a blessing to all math students

  • @danielchapa3935
    @danielchapa3935 Před 5 lety +50

    Can you be my math teacher instead lol
    Seriously man, these videos are amazing. 👌

  • @pewdiepiesucks009o6
    @pewdiepiesucks009o6 Před 5 lety +3

    KEEP GOING! PLEASE DON'T QUIT MAKING VIDEOS

  • @asfiyazainab2184
    @asfiyazainab2184 Před 2 lety

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

  • @lil_thiccpeach9067
    @lil_thiccpeach9067 Před 4 lety

    I absolutely LOVE your style of teaching!! I have this test tomorrow for A levels, thanks for saving me from failing!

    • @MariosMathTutoring
      @MariosMathTutoring  Před 4 lety

      Glad you like my teaching style Lily! Good luck on your test! Report back if you want and let us all know how you did.

  • @Pgarc1a876
    @Pgarc1a876 Před 10 měsíci

    This is the best maths online lesson I’ve seen this year. I wish you did more a level maths though

  • @thomasolsenkirtschig2386

    Clear as crystal, congrats!

  • @aaryagupta3883
    @aaryagupta3883 Před 2 lety

    Thanks for the great videos. Your videos have helped me study for my math final.

  • @gllyb1659
    @gllyb1659 Před 4 lety +20

    I don’t know you, but I really appreciate you 😔

  • @shabihashernamuyombya3504

    So much talented.your a good teacher indeed.

  • @mikaielshuaib1307
    @mikaielshuaib1307 Před 2 lety

    loved this video, you've helped me in my final A-Levels :)

  • @Mr.Rationalizor
    @Mr.Rationalizor Před 2 lety

    god bless your soul Mr. Marlo. You're the angel I needed.

  • @Empyrean-Void
    @Empyrean-Void Před 3 lety

    This is an awesome video, very helpful!

  • @arlavina
    @arlavina Před 2 lety

    Your video saved the night and my stressed out daughter who’s teacher does not know how to teach. Thank you from the bottom of my heart.

  • @ezekielgarcia3769
    @ezekielgarcia3769 Před 3 lety

    Our education learning in Ph is non, teachers are not teaching nor presenting something, they're just giving us modules to comply, Thank you for teaching us sir

  • @feezasikandar8148
    @feezasikandar8148 Před 4 lety +4

    Hi! I must say that your teaching method is awesome. Well done, keep it up.
    But I couldn't understand the formula for the sum of Geometric sequence. Can you please elaborate it further how it is derived?

  • @quevoke35
    @quevoke35 Před 2 lety

    That was short easier and brief.....kudos i would like to learn calculus from you

  • @ramaal-naimi9587
    @ramaal-naimi9587 Před 3 lety

    THE BESTTTTTT for m2 sat subject test

  • @user-ty3bz5wo8p
    @user-ty3bz5wo8p Před 2 lety

    Such a good teacher you ar sir.

  • @missfvckedupdoll
    @missfvckedupdoll Před 3 lety +1

    if only I have known sooner that the videos here on youtube are easier to understand than in our online classes, I would've been able to have better grades for 1st quarter. But anyways, atleast there's still more quarters to come and I'm glad I'm actually learning from here! Thank you so much! 🤗❤

    • @adnanmaruf282
      @adnanmaruf282 Před 3 lety +1

      same to me before lockdown i was a title contender but now i am below average

  • @unruly_ronin
    @unruly_ronin Před 3 lety

    Glad I found the link to this follow up video from the other one

  • @jonzjacobzalzos8734
    @jonzjacobzalzos8734 Před 3 lety

    Thank you very much. I can now answer my module because of you 🥰🥰🥰

  • @shresthashreya5418
    @shresthashreya5418 Před 3 lety +1

    wow straight into it. respect

  • @Aristothink
    @Aristothink Před 4 měsíci

    Wow, great video. Your comments are amazingly good. I loved your comparisons, as they make the student think and not just memorize math. You explain every detail. 🏆🏆🏆🏆🏆

  • @adamtarekmabrouk3128
    @adamtarekmabrouk3128 Před 2 lety

    thank you man i really appreciate this its great

  • @laneraedle1881
    @laneraedle1881 Před 5 lety +12

    THIS WAS SO HELPFUL

  • @Epicstuff535
    @Epicstuff535 Před 2 lety

    Sir you are best teacher that i ever seen in my life, may God bless you every single happiness in this world and hereafter amen, love from (pakistan)

  • @Cyphon
    @Cyphon Před 2 lety

    thank you so much! this really helped me for my exam :)

  • @alkaline2493
    @alkaline2493 Před 4 lety

    Your Video is amazing i am have my finals and you taught me many things that i could get from my additional maths teacher.Thank you I am really grateful that you are here

    • @MariosMathTutoring
      @MariosMathTutoring  Před 4 lety

      You’re welcome Tushar! Good luck on your finals! Glad my videos are helping you!

  • @daddysmall
    @daddysmall Před 3 lety

    this has been really helpful, im gonna pass igcse now

  • @kuffuor_godfred
    @kuffuor_godfred Před 2 lety

    I quickly subscribed to this channel just after watching the first 5 minutes

  • @ARMAADONSLAM
    @ARMAADONSLAM Před 2 lety

    This helped sooo much!

  • @omamori8930
    @omamori8930 Před 4 lety +1

    thanks for this! been having a hard time studying due to classes being suspended, very helpful :)

  • @faqihmualim6290
    @faqihmualim6290 Před 2 lety

    Good Explanation !

  • @RA-pu9jo
    @RA-pu9jo Před 3 lety

    thank you for clarifying: , sequence , series, geometric, arithmetic !

  • @euniceb.fadriquelan3174
    @euniceb.fadriquelan3174 Před 3 lety +1

    this video helps me a lot, at his time of pandemic ... As a student, i can't understand some of my lesson or the modules that they gave to me, again!!! thank you so much

  • @behroztalha
    @behroztalha Před 3 lety

    This guy explains better than my maths sir, he just explains one time and his accent is weird. glad i found it

  • @C4kurdOfficial
    @C4kurdOfficial Před 4 lety

    Thanks so much for the help! Couldn't understand till i watched this.

  • @kairo2439
    @kairo2439 Před 2 lety

    THANK YOU SO MUCH, SIR MARIO!

  • @OfficialAmmorton
    @OfficialAmmorton Před 9 měsíci

    Thank you very much for your help Professor!

  • @shelbyr2382
    @shelbyr2382 Před 3 lety

    THANK YOUUU THIS HELPED SO MUCH

  • @owenkniffen598
    @owenkniffen598 Před 3 lety +1

    thanks this was very useful

  • @jenziva692
    @jenziva692 Před 4 lety +1

    I have exam today and best believe I can actually say I am 80% more prepared. Thank you. Great Job. I will be back.

  • @anbuchelvan3307
    @anbuchelvan3307 Před 2 lety

    I have my exams tomorrow and this video really saved me and my friend
    thank you so much👍😁✌️

  • @rileynobles7146
    @rileynobles7146 Před 4 lety +3

    Good job! If your path is heading you towards Calculus you really need to know this well.

  • @dollpartprincess
    @dollpartprincess Před měsícem

    this was so helpful :D

  • @attaullahabdushakoor8799

    Thanks a lot I learnt a lot

  • @lazyonigiri5665
    @lazyonigiri5665 Před 4 lety

    King of math

  • @user-xn8zo3ry8h
    @user-xn8zo3ry8h Před rokem

    Thank u so much, You're an awesome teacher.

  • @misplacedkid7703
    @misplacedkid7703 Před 2 lety

    This was very helpful

  • @shenaeq
    @shenaeq Před 3 lety

    Thanks for the help

  • @saivarma3628
    @saivarma3628 Před 3 lety

    thank u sir u. i have received a great lecture from u

  • @woomyngyes8528
    @woomyngyes8528 Před 3 lety

    what a great teacher :D

  • @ouroboros7388
    @ouroboros7388 Před 3 lety

    Thank you so much!

  • @randomchickenstrip1855
    @randomchickenstrip1855 Před 9 měsíci

    Literally watched this video 1 once and I understand it better than in my actual math class😭

  • @mwsgamersrepublic6449
    @mwsgamersrepublic6449 Před 4 lety +2

    hey
    sir
    can you tell me how to contact you online.
    i had few questions.
    regarding discrete mathematics

  • @quimbradomingos5902
    @quimbradomingos5902 Před 4 lety

    Ur teaching is straight fowrd and clear....make more videos.... and the way u explain I sublime😇