Mathematical Induction Practice Problems

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  • Опубликовано: 25 янв 2025

Комментарии • 1 тыс.

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Год назад +74

    Precalculus Video Lessons: www.video-tutor.net/precalculus.html

  • @alifardanqureshi2969
    @alifardanqureshi2969 Год назад +574

    One can struggle to understand any topic that is hard for him/her but once they know the organic chemistry tutor has a lecture on it their soul calms down. What a guy. God bless you

  • @chadnoobsalman
    @chadnoobsalman Год назад +117

    Physics, maths, chemistry, discrete structures - this guy got everything.
    Literally, a lifesaver in my exam days every year

  • @Spoder_07
    @Spoder_07 2 года назад +463

    Dear Organic Chemistry Tutor, you've taught me so many things and helped me pass so many exams I can't thank you enough. You're amazing

  • @incognito_tab43
    @incognito_tab43 11 месяцев назад +20

    Can we just talk about his voice?? Like I’ve never heard a voice that literally compels me to not only learn but to understand. Idk how to describe it but tysm for choosing to do this❗️

  • @nickmasino23
    @nickmasino23 6 лет назад +414

    i have been trying to teach myself induction all semester based of my professors notes. I havent made any progress. Finally I decided to look to youtube to help understand induction before i try to practice it. your video was beyond helpful and now i feel i have a much better understanding on induction. Thank you for the great video!

    • @tecklawirba9226
      @tecklawirba9226 2 года назад +2

      Thanks I really learn alot from your videos

  • @leoniemi8636
    @leoniemi8636 4 года назад +150

    your videos really helped me learn, mathematical induction, functions, logs, standard deviation, compound interest, arithmetic sequences, electromagnetic fields, electric fields, circuit, electricty physic stuff, geometric sequences, binomial expansions, factor theorem, remainder theorem, enthalpy change calculations, statistics, and some more stuff in this span of a week for all my exams since I was hospitalized and couldnt get out of bed I WAS REALLY BEHIND but I have managed to catch up an entire semester in a week or two thanks to you.

    • @Mike-oc6jc
      @Mike-oc6jc 2 года назад +36

      my guy listed every area in math

    • @BossKing1243
      @BossKing1243 2 года назад +10

      @@Mike-oc6jc I’m saying wtf lmao😂

    • @Mujahed.
      @Mujahed. 2 года назад +9

      You did a great job too dude, glad you're doing well

    • @kundisyanamfukwe
      @kundisyanamfukwe Год назад

      Wow they also help me I can't complain

    • @maxien101
      @maxien101 Год назад +5

      these many topics aren't easy to grasp, u r one of the smart ones fr

  • @danielhazel7205
    @danielhazel7205 3 года назад +42

    Just dropped by to say hi. Never had a basic foundation for math during high school days. This man swung in with his educational videos and saved my ass from failing in college. I appreciate you a lot, thanks sir!

  • @jonathanvilla5769
    @jonathanvilla5769 5 лет назад +4539

    Who else is here because their discrete math professor can not explain this stuff well?

    • @EllieMandyArt
      @EllieMandyArt 5 лет назад +35

      hahaha me! what college do you go to?

    • @jonathanvilla5769
      @jonathanvilla5769 5 лет назад +17

      Ellie Mandy I go to Lewis University In Illinois!

    • @EllieMandyArt
      @EllieMandyArt 5 лет назад +19

      Jonathan Villa sweet, i go to Georgia Gwinnett College.

    • @blossomrose5134
      @blossomrose5134 5 лет назад +8

      lmao same

    • @DopetheKid
      @DopetheKid 5 лет назад +7

      @@EllieMandyArt Georgia State

  • @lucy4666
    @lucy4666 3 года назад +138

    i'm in shock bcuz i could never complete even a single simple induction exercise before watching you and now i just did. you taught me more in less than 20min than my teachers in 4 months

    • @another_august
      @another_august Год назад +2

      That bcz you didn’t listen your teacher carefully and not want to 😅

    • @lucy4666
      @lucy4666 Год назад +15

      @@another_august no? stop talking without knowing what goes in my life. we didn't have classes this was during COVID so we DIDN'T have classes, we had prerecorded videos that didn't explain anything in depth and we had to teach ourselves the best way we could. think before you talk.

  • @Remmyster
    @Remmyster Год назад +10

    I am truly grateful of your work Mr. Organic Chemistry Tutor. You have saved me from countless quizzes, exams and assignments just because of you sharing your knowledge for everyone to see. We are really thankful for your hard work. Never stop making these videos.

  • @aidan8465
    @aidan8465 Год назад +7

    My brother in Christ, I didn't understand what the prof taught but this dude explained it in a few minutes and now I understood it clearly

  • @jrupp2823
    @jrupp2823 6 лет назад +61

    holy shit what a good tutorial. i watched 4 videos on this and was so confused your explanations are so intuitive.

  • @vivianh936
    @vivianh936 4 года назад +35

    This RUclips channel is the only thing getting me through high school

    • @gulnazfatima441
      @gulnazfatima441 9 месяцев назад +2

      Yes he explains very well concept you know

    • @HudsonGTV
      @HudsonGTV 5 месяцев назад +2

      You doing inductive proofs in HS?!

    • @neeharikarao9720
      @neeharikarao9720 4 месяца назад

      Yesss me too😢😢

    • @NicaKasende
      @NicaKasende 2 месяца назад +1

      ​@@HudsonGTV😂

  • @nehaprakash4606
    @nehaprakash4606 Месяц назад +1

    I'm nervy! I got my precalc final tmrw evening, it's a college clas sbut im dual enrolled while I'm a junior in hs. induction, I aced it on my previous test all because of you, now I come back to review for the final, you are the one whom I can always depend on to teach and help me remember! Thanks for letting me try when you ask us to pause, I appreciate it!

  • @btl2189
    @btl2189 2 года назад +38

    I wrote my first semester exam in school yesterday and one of the questions was this topic
    Guess what, it was exactly the numbers you used for your example and I was able to answer it
    Thank you so much 😊
    Stay blessed

  • @mdakaneneho9386
    @mdakaneneho9386 6 лет назад +730

    i really like this guy, he never disappoints.

  • @blackwidow17
    @blackwidow17 4 года назад +220

    does anyone else find his voice EXTREMELY soothing like i'm falling asleep lmaooo

  • @oliviahyessoulmate2597
    @oliviahyessoulmate2597 2 года назад +55

    God lord help me overcome this huge obstacle in my life

    • @amarascore
      @amarascore 8 месяцев назад +2

      me rn😭😭😭😭

    • @oliviahyessoulmate2597
      @oliviahyessoulmate2597 8 месяцев назад

      ​@@amarascore omg good luck!! it all turned out well for me though. induction became my fave topic in calc 🥹

  • @josecruzrodriguez8033
    @josecruzrodriguez8033 2 года назад +40

    Looking at this video before my final because I’m expecting having to do an induction proof, thanks for making it very clear

    • @w7lves
      @w7lves 2 года назад

      How did it go lol

    • @benjah8407
      @benjah8407 2 года назад

      Same lol

    • @ThePyroMEGA
      @ThePyroMEGA 2 года назад

      Final in 30 minutes!

    • @nwokeemeka4871
      @nwokeemeka4871 2 года назад +1

      @@ThePyroMEGA nice explanation,my textbook couldn't elucidate it this way for me

  • @ZaheerAhmed-qu5ho
    @ZaheerAhmed-qu5ho 6 лет назад +36

    Thanks man I pass my discrete Math class because of you . you make things very clear and easy to understand

  • @J0rD5t3R
    @J0rD5t3R 2 года назад +4

    May be because I've seen a hundred other videos on the same topic but... this one finally hit. Thank you.

  • @hardlinewinter8040
    @hardlinewinter8040 3 месяца назад

    this is the singular resource i have seen on mathematical induction that ACTUALLY EXPLAINS TO SET EVERY TERM ON THE LEFT UP TO K+1 AS EQUAL TO THE ASSUMPTION! THANK YOU

  • @aviiegyu691
    @aviiegyu691 3 года назад +3

    Literally went through a depressive state and cried just bc i couldn't understand shit and my professor didn't even hold a proper lecture with this but thank goodness this video saved my life thank you so much 😭 for someone who struggles so hard understanding maths quickly, this has enlightened me so much.

  • @deenydeen
    @deenydeen 3 года назад +2

    the fact that i understood the assignment 5 minutes into this video but not 3 weeks into the chapter with my prof is blowing my mind right now

  • @elsonmusengi
    @elsonmusengi 4 года назад +3

    for all my chem problems I Watch your videos....jus found out you are also a good teacher in math.I LIKE YOU

  • @Jared-kh3uk
    @Jared-kh3uk 4 года назад +5

    dude thank you, so much. i dont understand why teachers cant just be this simple about things.

  • @eninahh5368
    @eninahh5368 5 лет назад +14

    Thank you , your video was beyond helpful, I’ve been trying to learn this for quite a while now and in just under 18 minutes it’s all clear. Thanks again

  • @theMuritz
    @theMuritz Месяц назад

    I like the way you proof not just the first step, but illustrate further steps. In fact it’s not necessary to calculate with all the trivial elements, one is enough. But hey, you show the details and that makes your content rare and valuable

  • @TechnoCoderz369
    @TechnoCoderz369 Год назад +7

    I am 13 years old and preparing for JEE Mains and Advanced. Whenever I want to learn any high school or college concept, you help me a lot! Thanks!

  • @neiro314
    @neiro314 3 года назад +7

    this guy got me through chem and now im back for discrete and now his voice brings is bringing me calmness for some reason haha thanks, dad

  • @intanshafinas9467
    @intanshafinas9467 5 лет назад +5

    ive been trying to solve mathematical induction for days thank god ive found ur videos i could solve it within minutes now thank u so much u help me a lot xxx

  • @richards_greatman
    @richards_greatman 2 года назад +2

    This short video helped me brush up my memory. Now I am ready for my class.

  • @Jbus03
    @Jbus03 4 года назад +4

    thank god u exist bc my teacher seems to think everyone can read his mind

  • @sharadamurali9406
    @sharadamurali9406 3 года назад

    Dude I have been struggling to find a video that could help me with the induction process. Something about makes things so easy to catch. I hope you live a hundred years.

  • @hamidhamrah8150
    @hamidhamrah8150 3 года назад +3

    I feel so calm when you explain things. Much appreciated for what you are doing.

  • @imasoupsoupersad2311
    @imasoupsoupersad2311 2 года назад +2

    these explanations are really helpful and it won't take long to understand! as a Thai student this video really helps me a lot. thank you

  • @Winjaisureverything
    @Winjaisureverything 6 лет назад +10

    THANK YOU SO MUCH. My teacher cannot teach and i always rely on you.

  • @hey9530
    @hey9530 3 года назад

    I spent 3 hours trying to understand this. Ur the only one that actually explained it to me clearly.

  • @suncityrick5461
    @suncityrick5461 5 лет назад +4

    After a number of youtube vids and books this video finally helped me intuitively understand induction, thanks!

  • @_abdmlk
    @_abdmlk 3 года назад +3

    You've been of great help! your videos are more lucid than our professor's hours of teaching honestly

  • @ioannaathineos5269
    @ioannaathineos5269 11 месяцев назад

    The most charismatic and inspiring person i ve ever known !!

  • @momfriend9429
    @momfriend9429 3 года назад +20

    I feel so happy and proud of myself for solving a proof on my own after watching your video ❤️❤️❤️❤️❤️ I thought I'd never do it

  • @aluriqs5176
    @aluriqs5176 4 месяца назад

    thank you SOOO much organic chemistry tutor, im just starting my senior year and i had pre-study homework and i had NO clue at all what it was about, your a life saver

  • @mawulinyarko499
    @mawulinyarko499 5 лет назад +3

    You are a real mathematics guru. Thank you for teaching me everyday.

  • @geenore8517
    @geenore8517 4 года назад

    I was so confused on how to do this before watching the video, but your work and how you walked through it made a light turn on and I got it instantly.

  • @abdirahmanali9260
    @abdirahmanali9260 4 года назад +20

    This guys have done single handedly out me through engineering school.😂😂

  • @ataurrahmanamer1678
    @ataurrahmanamer1678 4 года назад +2

    as a maths teacher i would say you are just brillient withen every topic ....!!!

  • @fergustay5998
    @fergustay5998 4 года назад +9

    hi, on 13:06. when u * 4 to both sides. why does (4k+1) ^3 been remove?

    • @tessavanart9986
      @tessavanart9986 8 месяцев назад

      Everyone's ignoring that huh

    • @CG119Animator
      @CG119Animator 4 месяца назад +1

      Because we were doing a factorization, it’s correct as written. Now, if you're still confused, perhaps you just overlooked the (k+1) term inside the right bracket after the factorization.
      After factoring out (k+1)^2 , the second term (k+1)^3 leaves behind just (k+1) inside the right bracket.

    • @snek3675
      @snek3675 4 месяца назад +1

      Because (k+1)² was factored from (k+1)³ which results in (k+1). Your misunderstanding stems from the fact you conjoined 4 with k when it should be 4(k+1)³. Hope this helps for you and for future students here :))

    • @feelthunder123
      @feelthunder123 3 месяца назад +1

      @@CG119Animatortoo bad we’re late, this comment was 3 yrs ago

  • @juliuspahama3622
    @juliuspahama3622 6 лет назад +1

    Thank you so much.. You have saved me many times.. Please keep it up. Im not relying on my profs anymore because you're here. You explain things easier to understand. Thank you so much

  • @nodreamisbig
    @nodreamisbig 3 года назад +21

    this is so easy! my math teacher literally made me believe it's one of the most difficult chapters 🙄 Thank you, organic chemistry tutor 🧡

    • @arjungupta3095
      @arjungupta3095 3 года назад +1

      He is a true legend! This man deserves a noble prize for helping 1000s of students around the world.

  • @kioistephenkamau6278
    @kioistephenkamau6278 3 года назад

    I'm beginning to wonder why i pay a lot of money as shool fees and still get nothing yet I pays nothing and learn a lot from you....May God bless you aboudontly, exceedingly and above your expectations!!!

  • @TheImaniDiaries
    @TheImaniDiaries 2 месяца назад +4

    Why is it that (K+1)^3 has been removed 12:25 ???

  • @zeebloxyt7728
    @zeebloxyt7728 3 года назад +2

    My most trusted guy on math problem until I die

  • @dashapratap3007
    @dashapratap3007 4 года назад +77

    lmao me reading the comments realizing its weird that I'm learning this in high school

  • @tlili3990
    @tlili3990 4 года назад +1

    i've been struggling with induction since the beginning of the year. after watching this, i understand it. thank you!

  • @Queen_MBA
    @Queen_MBA 5 лет назад +6

    This made my day after struggling with this on my own...

  • @TimothyBanda-wt4qk
    @TimothyBanda-wt4qk 10 месяцев назад

    With this guy around don't expect a fail

  • @tae4thehyun
    @tae4thehyun 4 года назад +18

    i love this lullaby
    jk i mean his voice is calming and he explain well, love it sm

  • @Penta_I
    @Penta_I 2 года назад

    Why did I learn about this guy just now?? I've been failing precalculus when this guy existed all this time?!

  • @anuradharamji2540
    @anuradharamji2540 5 лет назад +9

    Simple and easy explanation.Thanks to people like you ,maths is still interesting..praise God

  • @HurwaAli
    @HurwaAli Год назад

    You make one understand more than the lecturer. Thank you soo much for your videos .They have helped big time

  • @Sara-yz4bk
    @Sara-yz4bk 5 лет назад +9

    you are soooo genius, I LOVE YOU !

  • @JustMe-ke2ep
    @JustMe-ke2ep 3 года назад +2

    I don't know who you are, but I'm really thankful for your help in my math subjects. Godbless you 🙏🙏🙏

  • @jielene11
    @jielene11 3 года назад +4

    5:11 how do you distribute it . I don't know what he just did to make it like that

  • @Maay.andrade
    @Maay.andrade 5 месяцев назад

    Thank you very much for your video, I am a Brazilian student and even though I don't understand much English, I was able to understand your video, it is extremely intuitive and very explanatory! You did a great job🥰

  • @gghighlightz
    @gghighlightz 4 года назад +4

    At 11:56, why is the cube from 4(k+1)^3 removed?

    • @ami3803
      @ami3803 2 года назад

      because we factored by K+1

    • @CG119Animator
      @CG119Animator 4 месяца назад

      Because we were doing a factorization, it’s correct as written. Now, if you're still confused, perhaps you just overlooked the (k+1) term inside the right bracket after the factorization.
      After factoring out (k+1)^2 , the second term (k+1)^3 leaves behind just (k+1) inside the right bracket.

  • @haydenadurr
    @haydenadurr 2 года назад +1

    dude, you are soo helpful! literally wouldn't have passed this semester if it wasn't for your videos!!

  • @b3dubbs72
    @b3dubbs72 5 лет назад +9

    This is one thing that I “learned” in college algebra that I feel is going to come back and haunt me.

  • @soccerkings4602
    @soccerkings4602 Год назад

    This guy literally knows everything you are great and of much help to many may God bless you

  • @ebobbesem5396
    @ebobbesem5396 2 года назад +3

    This guy never disappoints 👏🏻👏🏻

  • @georgesadler7830
    @georgesadler7830 3 года назад +1

    MR. Organic Chemistry Tutor, thank you for a fantastic introduction to Mathematical Induction. Mathematical Induction is useful in Number Theory, Discrete Mathematics, Advanced Calculus and all graduate classes in math, science and engineering.

  • @jakejones4784
    @jakejones4784 4 года назад +2

    Thank you, so much. From the bottom of my heart

  • @itshum9390
    @itshum9390 3 года назад +1

    my bro tanner said your the living goat, u be blessing blessing

  • @sumsolution1064
    @sumsolution1064 Год назад

    Sir g U are not less than a blessing of Almighty to the maths Students.U have the magical skill to make any topic crystal clear.

  • @quackson4141
    @quackson4141 2 года назад +3

    thank you so much for making this video! may I suggest you to make a video about proving inequality using mathematical induction?

  • @dirokiwi
    @dirokiwi 3 месяца назад +2

    thanks dude youre the only one who made it undersandable

  • @dawitalemayehu-oq9yw
    @dawitalemayehu-oq9yw 14 дней назад +6

    Who is here from 2025

  • @chrisjordan6451
    @chrisjordan6451 3 месяца назад

    theres something about your videos that just make me understand the topic. God bless you brother

  • @SabrinaXe
    @SabrinaXe 6 лет назад +3

    Omg your voice is so cute and calming, thanks for the help btw

  • @davidnguyen7785
    @davidnguyen7785 Год назад

    You are the best tutor ive ever seen. All your explanations are super easy to understand and follow. you have saved me countless hours of headaches and i cant appreciate how much this has deepened my understanding on this concept .

  • @victorharris916
    @victorharris916 5 лет назад +10

    I came here because I fell asleep while my teacher discusses this one

    • @_abdmlk
      @_abdmlk 3 года назад

      😂lmao same mate

  • @caomoletimoloi6565
    @caomoletimoloi6565 5 лет назад

    I aint got any idea how to thank you bro>>>>> I have watched a lot of videos on induction, never understood any but the moment i watched this entire video i came out as a mathematician!!!! THANKS HEAPS!!!

  • @massetozacarias5693
    @massetozacarias5693 5 лет назад +10

    "what still searching for math help? are videos from 2007 really help you?"jajaja lol

  • @Kc-nn8mn
    @Kc-nn8mn 3 года назад

    When i learnt MI in my secondary school, i don't know the concept of Nth, i thought that N is a value. This guy fixed my concept. Thanks.

  • @evelynrhee8655
    @evelynrhee8655 6 лет назад +3

    Your explanation on the third example really saved me hours... thank you!

  • @TristanPopken
    @TristanPopken 2 года назад

    Wow, just watched this in 5 mins with a bit of arrow right spam. Didn't expect to learn this in such a short amount of time, thank you!

  • @kerwin392
    @kerwin392 6 лет назад +7

    I owe this man my degree!! please tell me you have udemy courses to buy??

  • @Do-Some-Change
    @Do-Some-Change Год назад

    You are a Awesome Teacher ever exist on this Planet

  • @Get_Splooshed
    @Get_Splooshed 4 года назад +216

    I’m 100% convinced that this man is Jesus Christ himself.

    • @cynthiaiweabudike7051
      @cynthiaiweabudike7051 4 года назад +1

      No way

    • @michelle732mn
      @michelle732mn 4 года назад +7

      Right...like Jesus how many subjects does he teach?!?!?!?!?! Every time I look up something he pops up so now if organic chemistry isn’t teaching it, I’m not watching lol.

    • @glennredwine289
      @glennredwine289 3 года назад

      look@ Jerryco Jauregue's videos on math induction, he pretty good job of explaining this stuff.

    • @izenyisamuel
      @izenyisamuel 3 года назад

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      @footballhd234 3 года назад

      No way to be Jesus he is man

  • @geraldaynyabyabin4289
    @geraldaynyabyabin4289 4 года назад

    Our professor taught us to not manipulate the right hand side of the equation all throughout. I learned this better. Thank you Sir Chemistry!

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    @ahmedismail8959 5 лет назад +9

    i just found heaven here

  • @MrRez-OGs
    @MrRez-OGs Год назад

    i'm in shock cuz that's fantastic, my English is not good so i can't understand what exactly you say but i completely understand it. your video really helped me to learn. thank you so much,wish u best.

  • @shofiuddin6326
    @shofiuddin6326 5 лет назад +4

    Where did u get the last part of K version like 2k square from and 4 K from can u explain those part please

    • @noemim1622
      @noemim1622 4 года назад

      basically imagine (k+1) is x and factor it out like a quadratic

  • @erikmachado4489
    @erikmachado4489 3 года назад

    I watched so many videos on this topic and it didn't make any sense. I never even once considered my GOAT made a video on this topic and in 18 min he made me completely understand what is going on. This guy is special.

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    @hadheralmeraikhi5908 3 месяца назад

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  • @smj_dyk
    @smj_dyk Год назад +27

    Are you sure Albert Einstein is not your uncle?

  • @c17c2x.5
    @c17c2x.5 2 года назад +1

    Thanks a lot for this lacture, really fantastic I always used to skip PMI part in mathematics but now after watching this video I can able to solve different types of PMI questions.

  • @DEXlTE
    @DEXlTE 7 лет назад +11

    Why are so much of your calculus videos private?

    • @louisphilippe1100
      @louisphilippe1100 6 лет назад +5

      I don't think this is Calculus. This is mathematics theory.

  • @sucrephotography2025
    @sucrephotography2025 2 года назад

    Even on my graduation I will mention you in my speech.....you are the best