Mathematical Induction Proof with Sum and Factorial

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  • Опубликовано: 24 дек 2024

Комментарии • 45

  • @justamoose220
    @justamoose220 4 года назад +61

    This is literally the exact proof I was stuck on for an assignment. You're a lifesaver. Thank you.

    • @TheMathSorcerer
      @TheMathSorcerer  4 года назад +2

      Oh wow how random haha. This is from a random number theory book I think.

    • @ashk3734
      @ashk3734 4 года назад

      @@TheMathSorcerer well I was stuck on this for ages as I didn't know that n!(n+1) is n! thanks for helping out

    • @theplumpchicken2233
      @theplumpchicken2233 3 года назад

      Same lol 😂

    • @noorbano1306
      @noorbano1306 3 года назад

      Same guys i asko stuck in this same question
      Hahahah

  • @wasntblessedwithone7488
    @wasntblessedwithone7488 4 года назад +17

    5:49, Agreed. I don't work with factorials very often in an algebra setting so this video was a godsend, thank you!

  • @alfiehiscox3732
    @alfiehiscox3732 Год назад +1

    O'Mighty Sorcerer, you've done it again! I was ready the Skiena book 'The Algorithm Design Manual' and was getting stuck on induction and this exact proof. Safe to say it's making a lot more sense now! Thanks!!

  • @aidanlynch8415
    @aidanlynch8415 3 года назад +6

    searched "proof by induction factorial" and this was the exact problem I was stuck on in my textbook lol, thanks!

  • @assails5705
    @assails5705 4 года назад +6

    Thank u sooo much...It was same question in my assignments and I got confused at last steps..this was really helpful..u r the best thank u 👏🏽✨

  • @dougjordan1544
    @dougjordan1544 11 месяцев назад

    thanks, the factorial identities are not often mention and are assumed. You stated them which made it far easier to prove.

  • @Thecoolguy43
    @Thecoolguy43 4 месяца назад

    Thanks for posting, ive been meaning to brush up on my math

  • @beautifulaffliction1742
    @beautifulaffliction1742 4 года назад +3

    You’re the best bro.

  • @limkangjay1439
    @limkangjay1439 3 года назад +1

    my lecturer just say, "this question is for your exercise "
    BTW thanks a lot, you helped me to solve this question

  • @noorbano1306
    @noorbano1306 3 года назад +1

    Amazing explanation Sir g

  • @fatinonari8333
    @fatinonari8333 2 года назад

    That was my exercise qs and I was stuck here but you got me out
    Thanks Alot ❤️

  • @noorbano1306
    @noorbano1306 3 года назад

    Its really very helpful
    My teacher gave me homework which is this question i was going wright but in ! I stuck then i thought let search may be i got any hint of that
    But look my goodness i got same question
    Thanks boss

  • @delpear_
    @delpear_ 10 месяцев назад

    idk how you can write like that but tysm for this proof!

  • @JamesMatimela
    @JamesMatimela 7 месяцев назад +1

    Long Live Bro ✊🏿❤️

  • @georgettebeulah4427
    @georgettebeulah4427 5 лет назад +2

    This link video you write I can understand from it a lot if you make more math lectures will be much better or easier. Thank you so much.

  • @tommyphu307
    @tommyphu307 2 года назад

    omg thanks so much:) was stuck for a minute

  • @eduidearamlan
    @eduidearamlan Год назад

    Thank you, very helpful

  • @WhishoMH
    @WhishoMH Год назад

    Super helpful

  • @cretorn1
    @cretorn1 Год назад +5

    This was in the test and it wasn't taught...

  • @valentiabusi436
    @valentiabusi436 4 года назад +1

    Thanks for the video ❤

  • @franciscotomasmorenogarcia2913
    @franciscotomasmorenogarcia2913 4 года назад +5

    The only thing keeping me from understanding it to the 100% is (k+1)! * (k+1), why is equal to (k+2) ?? I'm not well verse in factorial and tired of searching, if someone could explain or post an url, whatever that could help, thanks i advance.

    • @TheMathSorcerer
      @TheMathSorcerer  4 года назад +9

      Ok so n! = n(n-1)(n-2)(n-3)*...*3*2*1, ok so here we have
      (k + 2)*(k + 1)! =
      (k + 2)(k + 1)k * ...*3*2*1 =
      (k + 2)!
      In general,
      (n + 1)n! = (n + 1)!

  • @loveyourself1581
    @loveyourself1581 4 года назад

    i have a question. What if n, the upper limit of summation is stated to be equals to 1 would it be the same? Btw thank you for this!!!

  • @krishivrana8272
    @krishivrana8272 4 года назад +2

    🤘👍🤘

  • @krishivrana8272
    @krishivrana8272 4 года назад +2

    Where are you from?

  • @ylh4117
    @ylh4117 3 года назад

    Thx you saved me

  • @explorenxaencantaja1093
    @explorenxaencantaja1093 4 года назад +1

    Thank you.

  • @leanneteh8307
    @leanneteh8307 4 года назад +1

    thank you!!

  • @mrpeachie
    @mrpeachie 9 месяцев назад

    ur a beast

  • @kainatjaved4622
    @kainatjaved4622 3 года назад +2

    I understand video except last points...

  • @AA-pe4wo
    @AA-pe4wo 3 года назад

    This statement is not true for n= 1,2,3,4 . I just tested for these numbers. I do know, but this statement might not be true at all. It is only true for n=1.

    • @Michael-jt2xi
      @Michael-jt2xi 20 дней назад

      Are you sure? It seems to work for n = 1, 2, 3, 4.

  • @johnhippisley9106
    @johnhippisley9106 3 года назад

    why tf do you hold the market like that

  • @tahmidawal5799
    @tahmidawal5799 2 года назад +1

    You look like Jeff Bezos