How to Find the Nth Term Equation | Fun Math | JusticeTheTutor

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  • Опубликовано: 27 ноя 2024

Комментарии • 95

  • @S-TH
    @S-TH 2 года назад +20

    Anyone here in college but has no idea how to solve this?
    Or am I the only idiot..🤣

    • @tbg-brawlstars
      @tbg-brawlstars 2 года назад +6

      You are not Idiot lmao
      You may have not learnt it at school
      It's just an easy question of AP
      Use formula : a+(n-1)d
      a=first term of series (here 5)
      d=difference between every term (here - +4)
      n=the term you want to find (here nth term)
      Putting values
      5+(n-1)4 = 5+4n-4 = *4n+1*

    • @mothserp
      @mothserp Год назад +1

      @@tbg-brawlstars great explanation man, super easy to understand

    • @tbg-brawlstars
      @tbg-brawlstars Год назад +1

      @@mothserp are you being sarcastic lol ?

    • @mothserp
      @mothserp Год назад +1

      @@tbg-brawlstars no haha I’m serious

    • @tbg-brawlstars
      @tbg-brawlstars Год назад +1

      @@mothserp thanks

  • @jaylev85
    @jaylev85 2 года назад +44

    the question is weirdly written! shouldn't it say.."write a function of n that represents the nth term of the series"

    • @johnspence8141
      @johnspence8141 2 года назад

      Arithmetic sequences

    • @ashishsaud6688
      @ashishsaud6688 2 года назад +1

      its not a series. its a sequence, an arithmetic sequence.

    • @rooftopastronomer2697
      @rooftopastronomer2697 2 года назад

      Nah
      This is correct too

    • @johnspence8141
      @johnspence8141 2 года назад +1

      Lot of people going to fail math

    • @tbg-brawlstars
      @tbg-brawlstars 2 года назад +2

      Bro it's just an easy question of AP
      Use formula : a+(n-1)d
      a=first term of series (here 5)
      d=difference between every term (here - +4)
      n=the term you want to find (here nth term)
      Putting values
      5+(n-1)4 = 5+4n-4 = *4n+1*

  • @waaahhhvishhh9408
    @waaahhhvishhh9408 Год назад +5

    Honestly you can just plug in the stuff you found out there into the equation :
    a + (n - 1)d ,
    Where a is the first term of the sequence, and d is the difference between each term.
    In this case, a = 5, d = 4.
    So, plug in:
    5 + (n - 1)4
    = 5 + 4n -4
    = 4n + 1
    As simple as that.
    Just be careful because this expression only works for Arithmetic Sequences (where all the differences are the same throughout).

    • @qwerty17419
      @qwerty17419 Год назад +3

      I know even I used the same formula for solving the sums but for MCQs his method is great as it saves a lot of time

  • @giolendius
    @giolendius 2 года назад +33

    B) is also correct, it starts with n=0
    n=0 -> 5
    n=1 -> 9 and so on
    Both are correct

    • @reflected4796
      @reflected4796 2 года назад +4

      No 5 is the 1st one, not the 0th one

    • @theMrFouldsy
      @theMrFouldsy 2 года назад +15

      @@reflected4796 no, only B is correct. Indexing starts at 0 and anyone that says otherwise is a silly poopoo head.

    • @RMF49
      @RMF49 2 года назад +10

      As a programmer I was annoyed that they included 4n + 5 in the answers making it a guess as to whether indexing starts at 0 or 1.

    • @johnspence8141
      @johnspence8141 2 года назад

      Nope. If you want to prove it use an example. 3rd term according to you would be 4(3)+ 5 = 17. The third term in this sequence is not 17

    • @RMF49
      @RMF49 2 года назад +3

      @@johnspence8141 No, in the previous commenters example N goes 0,1,2 not 1,2,3. So 4x2+5=13 is the 3rd term. It’s often customary in mathematics and programming to index starting at 0 instead of 1.

  • @unbelievablecricket8279
    @unbelievablecricket8279 Год назад +1

    a +(n-1)d = an
    If d = 4 , a = 5 then 4n +1 ans

  • @jk_banghit1492
    @jk_banghit1492 12 дней назад

    Very helpful

  • @johnspence8141
    @johnspence8141 2 года назад

    Or you use the arithmetic sequence general formula a + (n-1)d. Where a is the first term. N is any term you’re looking for (or nth term) and d is the difference. 5 + (n-1)4 = 5 + 4n -4 = 1 + 4n = 4n +1

  • @Addlese0-uf1rx
    @Addlese0-uf1rx Месяц назад

    Thanks so much

  • @Metalman200xdamnit
    @Metalman200xdamnit 2 года назад +1

    Thanks for making it simple.

    • @tbg-brawlstars
      @tbg-brawlstars 2 года назад +1

      Bro it's just an easy question of AP
      Use formula : a+(n-1)d
      a=first term of series (here 5)
      d=difference between every term (here - +4)
      n=the term you want to find (here nth term)
      Putting values
      5+(n-1)4 = 5+4n-4 = *4n+1*

  • @minokoolosan
    @minokoolosan 2 года назад +1

    Since we don't know a1 (because 5 could as well be a1) this question has no answer. Also the nth term would be 4(n-1)+ a1

  • @lilac624
    @lilac624 2 года назад

    Would teach this strategy to my students...

  • @Jack-lu3dv
    @Jack-lu3dv 2 года назад

    The formula for finding the nth term in an arithmetic sequence is:
    nth term=1st term + d(n-1)
    Where:
    d-common difference
    n-number of terms

    • @hearthergd7462
      @hearthergd7462 2 года назад

      Better yet:
      "a(n) = a(x) + (n-x)d"
      That way you can get the term from any other term x in the sequence

    • @tbg-brawlstars
      @tbg-brawlstars 2 года назад

      Finally I found someone knowing AP in comment

  • @PRATHAM_TALUKDAR
    @PRATHAM_TALUKDAR 2 года назад +1

    It is a question of arithmetic progressions(AP)

  • @johnspence8141
    @johnspence8141 2 года назад +1

    Holy overthinking comments. Grade 11 math : any sequence with a consistent difference (in this case 4) is an arithmetic sequence. Go use the formulas from there

    • @tbg-brawlstars
      @tbg-brawlstars 2 года назад

      Yes, it's just an easy question of AP
      Use formula : a+(n-1)d
      a=first term of series (here 5)
      d=difference between every term (here - +4)
      n=the term we want to find (here nth term)
      Putting values
      5+(n-1)4 = 5+4n-4 = *4n+1*

  • @alyshacs
    @alyshacs 2 года назад

    You could also have written the multiples of 4 above each integer and see the difference between them… giving you the +/- function of the whole “nth term”

  • @cam_the_speedrunner6500
    @cam_the_speedrunner6500 2 года назад +4

    Me in 7th grade doing this on my own

    • @tbg-brawlstars
      @tbg-brawlstars 2 года назад +1

      Bro it's just an easy question of AP
      Use formula : a+(n-1)d
      a=first term of series (here 5)
      d=difference between every term (here - +4)
      n=the term you want to find (here nth term)
      Putting values
      5+(n-1)4 = 5+4n-4 = *4n+1*

    • @cam_the_speedrunner6500
      @cam_the_speedrunner6500 2 года назад +1

      AP? I'm doing this in Algebra 1

    • @tbg-brawlstars
      @tbg-brawlstars 2 года назад +1

      @@cam_the_speedrunner6500 In India, we don't have different divisions of things in maths
      We have different chapters
      And till class 12, we study everything in Maths (obviously basics of many things cuz what they will teach in College then 😂)

  • @salykeur
    @salykeur 2 года назад

    There is only one correct answer,which is 5+4n.
    The list starts with 5 which is completely different from starting from 1.
    If we want to create a magic music box that plays music respectively after 5 hour then after 9 hour … once it is powered up we will end by using the nth term 4n + 5 with n is a 0,1 … infinity(N)

    • @johnspence8141
      @johnspence8141 2 года назад

      Nope. Try it with any number in the sequence. Try the 3rd. 5(3) + 4 = 19 but the third number is not 19. This is straight from arithmetic sequences

  • @bruh-moment-21
    @bruh-moment-21 2 года назад +2

    put N = 1 and find out. D

  • @darling.336
    @darling.336 2 года назад +5

    This is 7th grade right?

  • @NuckleChuts0
    @NuckleChuts0 2 года назад

    It’s summer shut up im on my break

  • @umagovindaraj4339
    @umagovindaraj4339 2 года назад +1

    Weird question, in every case this question seems to be vice versa but here?? 🤨🤔

  • @zzz-lo8vg
    @zzz-lo8vg 2 года назад +1

    What are these questions from?

    • @tbg-brawlstars
      @tbg-brawlstars 2 года назад +1

      Bro it's just an easy question of AP
      Use formula : a+(n-1)d
      a=first term of series (here 5)
      d=difference between every term (here - +4)
      n=the term you want to find (here nth term)
      Putting values
      5+(n-1)4 = 5+4n-4 = *4n+1*

  • @wmwarner9196
    @wmwarner9196 2 года назад

    If you’d could stop drawing 4 like that it would be great. Thanks

  • @-___-g
    @-___-g 2 года назад

    What if it started at 9. Wouldn’t that change some things

    • @Uniqu394
      @Uniqu394 2 года назад

      If it started at 9 then the 0th term would be 5
      4n+5

    • @tbg-brawlstars
      @tbg-brawlstars 2 года назад

      Bro it's just an easy question of AP
      Use formula : a+(n-1)d
      a=first term of series (here 5)
      d=difference between every term (here - +4)
      n=the term you want to find (here nth term)
      Putting values
      5+(n-1)4 = 5+4n-4 = *4n+1*

  • @andreistan2830
    @andreistan2830 2 года назад

    1st, at most 2nd graders can do this.

  • @0xAldehyde
    @0xAldehyde Год назад

    A+(n-1)d left the chat

  • @Yash-zs1le
    @Yash-zs1le 2 года назад

    It's AP bro

  • @rockygaming3663
    @rockygaming3663 2 года назад

    Just put n=1 if u get 5 thats the answer 😏

  • @cooluyuy4957
    @cooluyuy4957 2 года назад

    D

  • @sumadaniel7585
    @sumadaniel7585 2 года назад

    4n+1

  • @tbg-brawlstars
    @tbg-brawlstars 2 года назад

    BRUH JUST USE AP FORMULA -__-
    THIS DOESN'T EVEN MAKE SENSE

  • @unbelievablecricket8279
    @unbelievablecricket8279 Год назад

    Ddd

  • @amarjyotbedi5952
    @amarjyotbedi5952 2 года назад

    Ha ha. Got it in 2 seconds

  • @rohanbaste-bania6227
    @rohanbaste-bania6227 2 года назад

    Just plug 1 into n, the one that equals 5 is the answer is this case

    • @1hybodus
      @1hybodus 2 года назад +1

      That's only if the sequence starts with n=1. If instead you start with n=0 then it would be 4n+5 as 4(0)+5=5 and the same pattern emerges with 4(1)+5=9, 4(2)+5=13, 4(3)+5=17 etc. Without clearer instructions, this question has two acceptable answers.

  • @kalebporter1529
    @kalebporter1529 Год назад

    Why do we learn this. This has no application in 99.9 percent of the real world

  • @kingkasdin9767
    @kingkasdin9767 2 года назад +1

    4n is multiply n by 4, not add 4 to n.

    • @StevenPitts
      @StevenPitts 2 года назад

      The "nth term" is a term for finding the form "an+b" to show a number sequence. It isn't for multiplying them, in this case.
      Although, why there is a mathematical representation of something that is directly contradictory to the REST of ALL mathematical notation is beyond me. I'm sure there's a good reason somewhere, but like I said it's beyond me.

    • @kingkasdin9767
      @kingkasdin9767 2 года назад

      @@StevenPitts no I understand, if you plug his answer in it doesn't work

    • @alexrenton67
      @alexrenton67 2 года назад

      It does work.
      Don't forget that the first term in the series is 5, not 1, so (4×1)+1=5.
      1 is the 0th term, so (4×0)+1=1

    • @alexrenton67
      @alexrenton67 2 года назад

      Also, 'n' is consistent with the rest of mathematics. It is the notation for a natural number, a positive integer. This sets boundaries on what the number could be as n cannot be fractional. For example, it can't be say 1/2, 0.75 or 16.467, but it can be 1, 2, 3, 17, 997 etc.
      n is regularly used in sequences like this to denote the position of a value in that sequence.

    • @kingkasdin9767
      @kingkasdin9767 2 года назад

      @@alexrenton67 but the second doesn't, nor the rest of the series. The slippery slope fallacy is what you just did. I figured that might happen, most do that with number sequences.

  • @gayatrimathssolution
    @gayatrimathssolution 2 года назад +1

    4n+1