Geometric Sequences: A Formula for the' n - th ' Term , Part 1

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  • เผยแพร่เมื่อ 20 ธ.ค. 2024

ความคิดเห็น • 305

  • @yukichancinnamonroll
    @yukichancinnamonroll 11 ปีที่แล้ว +84

    you're amazing! its crazy but you are better at explaining math than any of my math professor that ive ever had. thank you for taking the time to do this. please never stop!

    • @Sirscoober
      @Sirscoober 6 ปีที่แล้ว +1

      Mr. Nickolas from Northside High school explained it a lot easier= shout out to him

    • @fkncompton7124
      @fkncompton7124 6 ปีที่แล้ว

      yukichancinnamonroll ?lll=

  • @FishyhaeAngelsuju
    @FishyhaeAngelsuju 9 ปีที่แล้ว +162

    "oh my brain's not working"
    me everytime.

  • @lesleymcgill7182
    @lesleymcgill7182 12 ปีที่แล้ว +1

    I have watched both your arithmatic and geometric sequence videos, and I want to say thank you so much, as far back as I remember math has always been hard for me, and you have helped me overcome that obsticle, I will be watching more of your videos in the near future. Your an angel!

  • @ermaigawd
    @ermaigawd 13 ปีที่แล้ว

    I was researching all night trying to get this and none of the formulas made sense to me, from the bottom of my heart thank you so much for saving me.

  • @ace_gaming5891
    @ace_gaming5891 4 ปีที่แล้ว +1

    I cant believe this is the guy that i only need in my math problems. Thanks!!

  • @allahisonenonly
    @allahisonenonly 10 ปีที่แล้ว +21

    Please give a link for your second video in the comment section of this video. so it is easy to find. thanks

  • @davellew69
    @davellew69 12 ปีที่แล้ว

    well done , that really helped. I`m 43 and returning to education and working towards a maths degree, your vid`s are short and staight to the point, much better than dull course books

  • @patrickjmt
    @patrickjmt  13 ปีที่แล้ว

    @Ronaldo95163 i am sure you can search ' geometric sequences ' or just ' sequences ' or something similar on my channel page to find what you need.

  • @aleyzzamedina
    @aleyzzamedina 10 ปีที่แล้ว +22

    Hey Patrick, can you provide us with the link for the second video. We have been asking for years and it seems like you never have. Please provide us with that ASAP. Oh and your videos really help, so thank you.

  • @magpiestudent9357
    @magpiestudent9357 2 ปีที่แล้ว

    Thank you for explaining this intuitively. So many videos just spit the formulae at you and don't explain 'why.'

  • @Zoku012
    @Zoku012 11 ปีที่แล้ว +14

    Patrick, stay well. You have been so helpful to me and so many others. I am glad I have worked as a math tutor at my university. I always refer people to your website and TH-cam channel if we are low on time or confused. I think we should write your website and YoutTube on the tutoring center's whiteboard with a sharpie. You are awesome.

  • @acbwest
    @acbwest 13 ปีที่แล้ว

    As other people have said, THANK YOU. i have tried to study for my midterm and your videos have helped out alot.

  • @INDIAN5001
    @INDIAN5001 12 ปีที่แล้ว +1

    You seriously are an amazing math scholar!! Thanks so much and good luck to your future endeavors!!

  • @luismiguelcallemendez1582
    @luismiguelcallemendez1582 11 ปีที่แล้ว

    Patrick you are what i call a life saver this is just what i need for tomorrows test which are my mid term and for my mocks next year and for the real thing thank you so freaking much

  • @cosmicphrog4519
    @cosmicphrog4519 6 ปีที่แล้ว

    hello Patrick: your channel is down to the earth the most helpful online tutorial i've ever had! no bs just plain math, short and easy to understand. even my math professor recommended you. thank you so much\

  • @BROOKLYNDAVIS718
    @BROOKLYNDAVIS718 11 ปีที่แล้ว

    GREAT VIDEO MATE. NEVER MIND THE LITTLE ARITHMETIC BLUNDER. YOU TAUGHT IT BETTER THAN MY PROFESSOR. KUDOS!

  • @jennyngo9067
    @jennyngo9067 10 ปีที่แล้ว +10

    Hi Patrick,
    May I ask the link for the following 3rd example that you mention in this video.
    Thank you so much for your patience hard work.

  • @unacasey5208
    @unacasey5208 10 ปีที่แล้ว +2

    can you give the link for the second video pleaseeeee

  • @patrickjmt
    @patrickjmt  13 ปีที่แล้ว

    @sarajb95 you are very welcome ; )

  • @Tamils93
    @Tamils93 13 ปีที่แล้ว

    Thanks Patrick this stuff really helps in University when they go past these stuff because they expect you to remember it from highschool

  • @jackiee91
    @jackiee91 13 ปีที่แล้ว +1

    OMG YESS THANKS SOO MUCH FOR HAVING THIS VIDEO!! I was 1 mark away from a perfect cuz my teacher thought the pattern wasn't linear OR exponential AND I SAID I WOULD PROVE HIM WRONG! THX TO THIS I CAN! UR AWESOME!!! =D

  • @patrickjmt
    @patrickjmt  12 ปีที่แล้ว +9

    good luck :)

  • @june7132
    @june7132 10 ปีที่แล้ว +2

    Another way to find the ratio is to take the second term and divide it by the first term. In this case 6 divided by 3 your ratio is 2. It saves you some work

  • @MusicNewb
    @MusicNewb 13 ปีที่แล้ว

    everytime i have the lessson in class, i always come back to patrick.

  • @patrickjmt
    @patrickjmt  13 ปีที่แล้ว

    @kidcyber008 search: geometric series and i bet you will find it.

  • @hildeseibes1471
    @hildeseibes1471 7 ปีที่แล้ว +1

    Basic Maths exam tomorrow,and Patrick is my only hope....... Maths made easy......

  • @cheekybeeky5110
    @cheekybeeky5110 6 ปีที่แล้ว +2

    This video helped me a lot thank Partick. I have been a huge fan of you since 100K subs. I love space. Please post space vids too.

  • @TheAnjleen
    @TheAnjleen 10 ปีที่แล้ว +5

    Thank you .Your students are really lucky to have you as a Maths teacher.

  • @jonathangore7780
    @jonathangore7780 10 ปีที่แล้ว +1

    any chance of the second part of this tutorial? please?...top notch tutor thanks for all the help so far..

  • @thaischafariz
    @thaischafariz 11 ปีที่แล้ว

    where's that other video where you said you would talk about how to get a different value when given two other terms and not the a1 term?

  • @feonadong3372
    @feonadong3372 12 ปีที่แล้ว +1

    Oh my gosh, thank you! I have a math competition tomorrow, so I'm reviewing everything I need to know! Thanks!

  • @PaulaDoingHair
    @PaulaDoingHair 13 ปีที่แล้ว

    Thank you Thank you... My math class only meets once a week and these video's have helped tremendously!!

  • @MrVinnyable1
    @MrVinnyable1 14 ปีที่แล้ว

    U R THE BEST TUTOR ON TH-cam!!

  • @NegativeDee
    @NegativeDee 12 ปีที่แล้ว

    Do you have a video on Linear recurrence sequences?

  • @MsTridentgum
    @MsTridentgum 13 ปีที่แล้ว

    very clear. where can I get other information from you?

  • @derpifiedgamer
    @derpifiedgamer 11 ปีที่แล้ว

    thank you so much ive been falling behind and your vids brought me back up to speed

  • @alexandriaclark2657
    @alexandriaclark2657 6 ปีที่แล้ว +2

    your videos really help me im in 6th grade and i have a 98 in my class because of you thanks

  • @BikML1
    @BikML1 13 ปีที่แล้ว

    Wheres is the other vid with the 3rd question? Can't find it...

  • @fluffymuffin1
    @fluffymuffin1 14 ปีที่แล้ว

    where is this next video you are talking about? i cant find it?

  • @x972000x
    @x972000x 13 ปีที่แล้ว

    hey patrick where is the another video the 1 u r talking abt here?

  • @Stunnzu
    @Stunnzu 12 ปีที่แล้ว

    please i have a question lets say you have A1 and Ratio, and the final number, but what im trying to figure out is what Nth term it's at. How do i write formula for that?

  • @nekoninz2
    @nekoninz2 12 ปีที่แล้ว

    Or simply divide the 2nd term to the first term to get the common ratio. :)

  • @joyfulcat012
    @joyfulcat012 13 ปีที่แล้ว

    I Love the way you teach, it's better than what my teachers teaches.

  • @craigmartinj
    @craigmartinj 7 ปีที่แล้ว

    I have a question about this... If I am calculating interest on an investment the formula doesn't seem to work. Say I invest 10,000 at 5% for one year. A sub n = A sub 1 * r^(n-1). r = 1.05 and n = 1. Now that gives me A sub n = 10,000 * r^(1-1) or 10,000 * r^(0). Anything to the zero power is by definition 1 so that is 10,000 * 1 or 10,000... I didn't earn any interest after one year. I realize there is a separate interest formula out there but I am not sure why this problem wouldn't affect other terms as well i.e. showing no change with an N = 1

  • @samwenchester7553
    @samwenchester7553 6 ปีที่แล้ว

    where's the link in the other video you'd mentioned?

  • @markangelosantos9915
    @markangelosantos9915 9 ปีที่แล้ว

    may i ask where is the second video? thanks

  • @Ronaldo95163
    @Ronaldo95163 13 ปีที่แล้ว

    What's the name of the second part to this video?

  • @Ronaldo95163
    @Ronaldo95163 13 ปีที่แล้ว

    Where can I find part 2 to this video?

  • @ivancanlas5099
    @ivancanlas5099 8 ปีที่แล้ว +1

    how did he get the 128 @5:27

    • @ririelala2198
      @ririelala2198 8 ปีที่แล้ว +1

      He multiplied the 2 seven times. a8 = (3)(2)^7

  • @jmoneyboss
    @jmoneyboss 12 ปีที่แล้ว

    can you do a video involving the sum of a geometric sequence pretty please and i still can't find the second video to this one

  • @eXBouncers
    @eXBouncers 6 ปีที่แล้ว

    Thank you for this insight on how the formula is actually structured. All my math professor told me was to memorize these formulas without explaining anything on how they work.

  • @lukaslisias8425
    @lukaslisias8425 11 ปีที่แล้ว

    Hi. Plzz show me how to find the progression? In an infinitely decreasing geometric progression with positive terms of amount of the three first terms is 10.5, and the amount of progression is 12.

  • @Barbiiee360
    @Barbiiee360 11 ปีที่แล้ว

    Great video man. you're helping me out a lot with my ISU. Do you have the other part that you mentioned in the front of this video?

  • @incloudnine
    @incloudnine 13 ปีที่แล้ว

    you are a lot lot lot better than my math teacher. she sucks! i don't know why she became a teacher. thank you so much for this video!

  • @MsTridentgum
    @MsTridentgum 13 ปีที่แล้ว

    where is the next video that you mentioned?

  • @laulex4183
    @laulex4183 12 ปีที่แล้ว

    Great video, this helped me completely understand the solution. Question: if I'm not allowed to use a calculator how can I work out the squared numbers in my head .. For example 49 squared by 2. Please help! Thanks

  • @mattpalmer789
    @mattpalmer789 12 ปีที่แล้ว

    I also can't find part 2 to this video. I searched 'geometric sequence' and just 'sequence' in your channel but I still don't know where it is. Will you help me?

  • @TheBandanaGuy
    @TheBandanaGuy 12 ปีที่แล้ว

    i remember watching one of those old charlie brown episodes, and whenever the teacher would talk it would just sound like "Wah wah wah, wah wah." and thats what all math talk used to sound like for me...and then I found patrick

  • @whitewhale1000
    @whitewhale1000 13 ปีที่แล้ว +1

    So I kinda got my report card for my final grades today.
    A in math.
    My math teacher is horrible.
    You are a genius.
    There's no easy way to say this...
    YOU FUCKING ROCK! =D

  • @patrickjmt
    @patrickjmt  13 ปีที่แล้ว

    @ermaigawd happy i could help you out

  • @VizardDLim
    @VizardDLim 15 ปีที่แล้ว

    nice, i needed this for my diagnostic exam

  • @TheLyricaholic
    @TheLyricaholic 13 ปีที่แล้ว

    Whats the 8 about(index) on 5:14

  • @Zonda700
    @Zonda700 11 ปีที่แล้ว

    my example is
    3x, 4x,+2, 7x - 1
    how can you apply it in geometric sequence ?

  • @aminulislam3059
    @aminulislam3059 8 ปีที่แล้ว

    I have not found another video covering question n 3.

  • @NarutoUzumaki-zc6ir
    @NarutoUzumaki-zc6ir 4 ปีที่แล้ว

    5:21 Where did you get the 128🥺🥺

    • @Bloodstike-tricks
      @Bloodstike-tricks 2 ปีที่แล้ว

      Ahahhaha i asking the creator of thus video (2)⁷ = to 128 huh?

  • @CuriousCreators
    @CuriousCreators 12 ปีที่แล้ว

    An in-video link to that other video would've been really nice (& super easy to do). I give up looking for it...

  • @patrickjmt
    @patrickjmt  13 ปีที่แล้ว

    @darksky331 underwater somewhere, hopefully

  • @klawsk343
    @klawsk343 12 ปีที่แล้ว

    You saved me! You should come replace my current math teacher!!

  • @4Mikz
    @4Mikz 13 ปีที่แล้ว

    Is 2 always the common ratio?

  • @atruebluebadass
    @atruebluebadass 13 ปีที่แล้ว

    First let me say i love your videos and the reason i am doing well again in math is because of you. I really appreciate you doing this. Also can you put a link for the 3rd problem you mentioned would be in another video? Thanks alot!
    ~Marco

  • @IluvHKong
    @IluvHKong 11 ปีที่แล้ว

    when ever you say " in another video" can you give the link to that vid?

  • @kawaiirinkagamine8644
    @kawaiirinkagamine8644 9 ปีที่แล้ว

    Is the common ratio always 2 or it can be different?
    Like how we get the common difference of arithmetic sequence is always different...

    • @moveout891
      @moveout891 9 ปีที่แล้ว

      +Ayessa Kasilag the common ratio can be different, on a geometric sequence the ratio will be the second term divided by the first one. However on a arithmetic sequence the ratio will be the difference between the second term and the first term. Hope it helps, cheers!

    • @kawaiirinkagamine8644
      @kawaiirinkagamine8644 9 ปีที่แล้ว

      Erick Soto thank you, that really helps me!

  • @kati3ashl334
    @kati3ashl334 5 ปีที่แล้ว

    Thank you!!! Can u give us any tips for mental maths??

  • @ShiroWretchedEggX
    @ShiroWretchedEggX 10 ปีที่แล้ว +6

    You should of designed my Calculus book.

  • @blarghwastaken
    @blarghwastaken 13 ปีที่แล้ว

    My TA for Calc II is the worst teacher ever. Yay for PatrickJMT.

  • @ebenygraves
    @ebenygraves 13 ปีที่แล้ว

    i really need this one. you pulled it off already......... i'm in trouble!!!

  • @king95MK
    @king95MK 13 ปีที่แล้ว

    where is the second video that shows if a2=32, a5=-4 ?

  • @maryamfarid367
    @maryamfarid367 8 ปีที่แล้ว

    Thanks!! But where did u get the 8 from(a8) ??

    • @Toxicblackmambahs
      @Toxicblackmambahs 8 ปีที่แล้ว

      Assuming you want to find 8th term which is (a8).
      Some questions may ask you to find the next 4 terms in a G.P.

    • @grecia1350
      @grecia1350 8 ปีที่แล้ว

      Lex Luthor!!!

  • @salehalfekri2077
    @salehalfekri2077 12 ปีที่แล้ว

    Partrick thanks for your videos they are really helpful!!!
    I was searching for the next videos for more than one hour and I couldn't find it...can you PLZZZZ send me the link of the second part of this video ASAP?!!!

  • @wintez
    @wintez 15 ปีที่แล้ว

    um Patrick how do u find the sum of a geometric sequence?

  • @erilandosio6059
    @erilandosio6059 11 ปีที่แล้ว

    man this video really helps me a lot ! thank you buddy !

  • @Lawlzorcreatorz
    @Lawlzorcreatorz 11 ปีที่แล้ว

    Great videos, however you have too many videos, and you have not linked that 3rd question which is the one I need - Can you do this please

  • @roelvaleriano9634
    @roelvaleriano9634 6 ปีที่แล้ว +1

    Can i ask..where is the 2nd vid?

  • @tipsheda
    @tipsheda 13 ปีที่แล้ว

    Why does a repeated algorithm eventually revert itself back to its original state?

  • @renzomiranda612
    @renzomiranda612 9 ปีที่แล้ว

    Hi how did yu get the an or the a8 pls reply thanks

  • @Zonda700
    @Zonda700 11 ปีที่แล้ว

    and why a8 ?
    how do you get that ?

  • @dhaynedizon7464
    @dhaynedizon7464 6 ปีที่แล้ว

    How about decreasing?

  • @studyinghurts
    @studyinghurts 10 ปีที่แล้ว

    Thank you Patrick! This was very helpful. I like to know where a formula is coming from before memorizing it, and well you did that; super quick and super comprehendible.

  • @durwinaeeronsulat6741
    @durwinaeeronsulat6741 9 ปีที่แล้ว

    may I ask something? why do you put 8 no. of terms if you only have 6 terms?? I don't get it?

    • @S3rïaL_D3sîgnåti0nV
      @S3rïaL_D3sîgnåti0nV 9 ปีที่แล้ว +2

      Durwin Aeeron Sulat it's the problem, to find the 8th term. :)

  • @rexaive7953
    @rexaive7953 7 ปีที่แล้ว +1

    How did you get 3.(128) ?

  • @kidcyber008
    @kidcyber008 13 ปีที่แล้ว

    what's the formula for a geometric series?

  • @whatevuh147
    @whatevuh147 6 ปีที่แล้ว

    How do you know what the common ratio is?

    • @jdm68
      @jdm68 6 ปีที่แล้ว

      a2 divided by a1. For example 6/3=2, 12/6=2, 24/12=2 meaning 2 is the common ratio.

  • @mjr1805
    @mjr1805 13 ปีที่แล้ว

    aahhhh.......ur really good i learn a lot from ur lessons. Thanks online teacher!

  • @mebinsunny
    @mebinsunny 12 ปีที่แล้ว

    Patrick is the Archimedes of 21st century

  • @TheGuitarplayer242
    @TheGuitarplayer242 9 ปีที่แล้ว +1

    Is -1/4 the answer to part 3? Btw, thank you for these awesome videos!

  • @cubangbangvincentian8588
    @cubangbangvincentian8588 8 ปีที่แล้ว

    Does the Common ratio is always 2?
    sorry for my bad english

    • @josephayuco4856
      @josephayuco4856 8 ปีที่แล้ว

      no depends on the problem

    • @carzz
      @carzz 8 ปีที่แล้ว

      it depends on the problem. the common ratio there is 2 because 6 divided by 3 is 2. thats why 2.

    • @burntashh3466
      @burntashh3466 8 ปีที่แล้ว

      no what u do is take the previous term and divide it by the current term in order to find the common ratip but make sure to check with a few groups of numbers to make sure that it is consistent

    • @burntashh3466
      @burntashh3466 8 ปีที่แล้ว

      if that is the case you may be looking at another form of the equation, which will not be able to be solved using this method

  • @calvinjohnson2479
    @calvinjohnson2479 7 ปีที่แล้ว

    I liked the video, it gave me another way to think about geometric sequence.

  • @migolitow
    @migolitow 12 ปีที่แล้ว

    Thanks man! YOU'RE A LIFESAVER!

  • @crescenciojohnmichaelp.8008
    @crescenciojohnmichaelp.8008 7 ปีที่แล้ว

    how did you get =3.(128)? pls

    • @shivagp9923
      @shivagp9923 7 ปีที่แล้ว

      Its 3 x (2)^7. And 2^7= 128. So its 3 x 128

  • @13GTC
    @13GTC 12 ปีที่แล้ว

    could somebody link me his video on question 3