Writing a General Formula of an Arithmetic Sequence

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  • เผยแพร่เมื่อ 24 พ.ย. 2024

ความคิดเห็น • 170

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  11 หลายเดือนก่อน +6

    Sequences - Free Formula Sheet: bit.ly/4eau2KQ
    Arithmetic Sequences: th-cam.com/video/mxEIFO8vXKY/w-d-xo.html
    Geometric Sequences: th-cam.com/video/zJEWcysAc44/w-d-xo.html
    Final Exams and Video Playlists: www.video-tutor.net/

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    @marykeel5424 ปีที่แล้ว +97

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      @1nspireVisi0n ปีที่แล้ว

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      @rediethaileyesus5937 2 ปีที่แล้ว

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    @mathewmwilamubanga7315 2 ปีที่แล้ว +13

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  • @lchazea.m.9192
    @lchazea.m.9192 5 ปีที่แล้ว +9

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  • @mambochristel2071
    @mambochristel2071 2 ปีที่แล้ว +3

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    @mxxnpeaches4946 ปีที่แล้ว +2

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    @patrickbarnes62 7 หลายเดือนก่อน

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  • @andreaclarke6946
    @andreaclarke6946 4 ปีที่แล้ว +10

    the fact that a TH-cam video teaches me more than actual school- anyways thank you for this, your videos help me so much!!!!

  • @Jessica_Le
    @Jessica_Le ปีที่แล้ว +1

    5 years later and I still have to say thank you so so much. My professor has never taught this before.

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    @marcbayoud9608 5 ปีที่แล้ว +17

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    this man crunched down days of lessons from school into 12 min; thank you

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    @_Indivinity 3 ปีที่แล้ว +2

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    @reinahirakawa4284 2 ปีที่แล้ว +2

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    @hoonigiri 5 ปีที่แล้ว +12

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    @beverlyfrancis8433 4 ปีที่แล้ว +5

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    @angelfejjanonuevo2641 3 ปีที่แล้ว

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  • @akiotakahashisan
    @akiotakahashisan 2 ปีที่แล้ว +5

    My teacher said to just guess the general rule...but I don't like guessing things...I like following formulas...so thanks for getting a formula to GET the formula hahahah...but the negative,positive,negative,positive sequences are the ones that I am worried about but I think I got this...thanks again.

    • @desmondtorevasei
      @desmondtorevasei ปีที่แล้ว

      Guess? In maths? What a load of poppycock

  • @noahsibahi-jackson8757
    @noahsibahi-jackson8757 ปีที่แล้ว +4

    An alternative method for an equation to solve for a sequence's equation is by writing a(n)=d(n)+a(0)
    [()=subscript], whereby a(n)= the sequence and or the coefficient as the common difference number times an interchangeable number [n], + the sequence to a subscript of 0 [a(0)] given this is equal to the constant that upscales or downscales each term [i.e 7,10,13 and 3,6,9 are technically both the same sequence only the constant of a(0) is different with it being 4 for the first variation and 0 for the second variation] depending on the sign of its value (positive or negative) given a subscript 0 is also a value that differentiates a variation of sequence from an original sequence that is otherwise identical and is a value that exists independently of the common difference between numbers. This way the equation can be applied to any type of arithmetic sequence regardless of its values and conditions as you simply have to substitute numbers into this skeleton or outline, while this is technically accomplishing the same result it is easier to remember this formula and it is more universal.
    Additional formulas and summary: d=a(2)-a(1)
    a(0)=a1-d=a(1)-[a(2)-a(1)]
    a(n)=d(n)+a(0)

  • @TheSnowyOwl-zg2ck
    @TheSnowyOwl-zg2ck ปีที่แล้ว +1

    Nice video, however, could you make this video as though explaining to a child? I am not understanding how you get your a to the zeros and why we subtract one, etc. Thank you for trying at least.

  • @Mystic3409
    @Mystic3409 ปีที่แล้ว

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    @MK-br6yp 5 ปีที่แล้ว +12

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    @Master_Cumingham_Baragwanath 2 ปีที่แล้ว +1

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  • @cr7neymar908
    @cr7neymar908 ปีที่แล้ว +7

    I swear to god I wish I was autistic. There’s autistic guys in my calc 2 class that can literally see the patterns in 3 seconds

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    @fams9449 4 ปีที่แล้ว +2

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  • @litojonny
    @litojonny 3 ปีที่แล้ว +3

    the y=mbx+b makes sense thanks

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    @jay-ralbino3529 4 ปีที่แล้ว +2

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    @luismejia6925 5 ปีที่แล้ว +15

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    @hanamohammed3112 4 ปีที่แล้ว +7

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  • @joyce7937
    @joyce7937 4 ปีที่แล้ว +5

    helped me out so much, thank you 😭

  • @MineNoTouchy
    @MineNoTouchy 6 ปีที่แล้ว +35

    Now why can't my online class teach it this way?! Thanks for the video!!!

    • @Swon549
      @Swon549 3 ปีที่แล้ว +1

      u had online skl 2 years ago ??

    • @Matt_Lanzer_13
      @Matt_Lanzer_13 3 ปีที่แล้ว +2

      @@Swon549 online classes have been a thing long before COVID.....

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    @totallycuterthanyou4 3 ปีที่แล้ว

    It finally clicked. Thank you!

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    @zoochino 5 ปีที่แล้ว +17

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    @giemar8307 3 ปีที่แล้ว +1

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    @chrizjosephromero8272 3 ปีที่แล้ว +5

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    @AayushBartaula 4 ปีที่แล้ว +4

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    @leikeize4781 3 ปีที่แล้ว +1

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    @jongjong3927 3 ปีที่แล้ว +2

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    @Sevolodon 6 ปีที่แล้ว +5

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    @shivamkumarsah9514 2 ปีที่แล้ว +1

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    @PWavePulseTV 5 ปีที่แล้ว +3

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  • @ehuffines5339
    @ehuffines5339 3 ปีที่แล้ว +1

    what is the sequence is decreasing how do you write an equation for that?
    for example 26,23,18,11 how would you write a sequence for this?

  • @skrabfrab1161
    @skrabfrab1161 ปีที่แล้ว

    My god once I graduate I will gift as a thank you :)

  • @kais5176
    @kais5176 2 ปีที่แล้ว +3

    im kinda upset with my math teacher because she kept asking for the general formulas of a certain sequence without tackling a single hint about the arithmetic formula and explaining how to to solve it.

  • @agustinarugilo6167
    @agustinarugilo6167 4 ปีที่แล้ว +4

    Very helpful😁

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    @benjig7864 4 ปีที่แล้ว +1

    Awesome tutor

  • @tanelkagan
    @tanelkagan 3 ปีที่แล้ว +3

    Not to be picky but some of your examples are not arithmetic sequences. The square sequences, for example, or the alternating -1,1-1,1 etc (which I think would be a geometric sequence with a common ratio of -1).
    The explanations are nonetheless useful, but since the video title refers to arithmetic sequences, this may cause a little confusion.

  • @anaskadurie5623
    @anaskadurie5623 4 ปีที่แล้ว +3

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    @KirchessPandora 3 ปีที่แล้ว +1

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  • @User84367
    @User84367 4 หลายเดือนก่อน

    muy excellente! feliz navidad!

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    @Angela-jm6kn 2 ปีที่แล้ว +1

    Thank youuu!!!

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    @leilahelin-pessoa1019 3 ปีที่แล้ว +1

    WOW OMG THANK YOU

  • @shafimohomed6843
    @shafimohomed6843 3 ปีที่แล้ว +1

    What about teacher if we dont have first term and common difference what will be the solution

  • @arkdevil1475
    @arkdevil1475 6 ปีที่แล้ว +13

    Can you make videos about modern physics(relativity,nuclear physics and quantum physics for highschool)and heat transfer(Stefan Boltzmann's law)Thanks for the videos!

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    @oppadaiski69animewatcher47 5 ปีที่แล้ว +2

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    @sioo4090 ปีที่แล้ว

    love you, bro. tnx for this

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    @maryamhira3384 5 ปีที่แล้ว +4

    Thanks a lot

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    @yahyaawan8175 3 ปีที่แล้ว

    Deserves a like

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    @cyrisligason8737 5 ปีที่แล้ว +2

    Thank you👍👍

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    @johnbenedicttripulca6235 4 ปีที่แล้ว +1

    thank you man

  • @Stepbackthreetimes
    @Stepbackthreetimes 3 หลายเดือนก่อน +1

    I'll just accept the fact that I'm never understanding math

  • @NOLAWAGAINSTIT
    @NOLAWAGAINSTIT 2 ปีที่แล้ว +2

    outstanding instruction!

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    @Sid369 3 ปีที่แล้ว

    Bro may God bless you for saving my A$$

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    @nicomanalang6729 4 ปีที่แล้ว +2

    thankk youu veryy muchh

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    @ranahijawi7099 6 ปีที่แล้ว +4

    Thank you :)

  • @AINEBYOONASTEPHEN-nd1we
    @AINEBYOONASTEPHEN-nd1we 6 หลายเดือนก่อน +2

    Exam tomorrow

  • @johannesuhepo7926
    @johannesuhepo7926 3 ปีที่แล้ว +1

    What if I don't know the common difference?

  • @adrianoshonoshonos3596
    @adrianoshonoshonos3596 5 ปีที่แล้ว +2

    Thank you sooo much!!!

  • @julia9642
    @julia9642 3 ปีที่แล้ว

    anyone cramming through this the night before their exams

  • @sheme.goffason4709
    @sheme.goffason4709 2 ปีที่แล้ว

    I'm always here🥰

  • @saniajavedaslam1473
    @saniajavedaslam1473 3 ปีที่แล้ว

    Thank u so much 😍

  • @shimwalug2202
    @shimwalug2202 2 ปีที่แล้ว

    You making it look hard and it it hard

  • @nihatdonmezov8354
    @nihatdonmezov8354 3 ปีที่แล้ว +1

    thank u so much

  • @saab3670
    @saab3670 4 ปีที่แล้ว +3

    What if there is no common difference? Like 2,5,10,17,26?

    • @cassied9327
      @cassied9327 4 ปีที่แล้ว +3

      If you notice, these numbers are the square of a natural number plus one.
      For this one I would write n^2+1

    • @davienng7859
      @davienng7859 4 ปีที่แล้ว

      @@cassied9327 not really, only the first two digits are the square of a natural number plus one, i dont really know how to write the equation for this one, but its first plus 3, then plus 5, then plus 7, then plus 9,

    • @cassied9327
      @cassied9327 4 ปีที่แล้ว +1

      @@davienng7859 n^2+1 would work for for 10, 17, and 26 as well.
      n=3 : 3^2+1=9+1=10
      n=4: 4^2+1=116+1=7
      n=5: 5^2+1=25+1=26
      You're not wrong about the plus 3, plus 5, plus 7, then plus 9 though
      n^2+1 is a way to generate that pattern starting at n=1 we get: 2,5,10,17,26,37,50, etc.
      that is the same as plus 3, plus 5, plus 7, plus 9, plus 11, plus 13, etc. (if we start at 2 and then add the 3 to get the next term, 5)

  • @atyahoodotcome1846
    @atyahoodotcome1846 2 ปีที่แล้ว

    Can you repeat how to get rule slowly ?????

  • @migyhiaibasan4588
    @migyhiaibasan4588 3 ปีที่แล้ว

    I have a question what is the (n-1) in the last part??☺️

  • @diyaayounes3397
    @diyaayounes3397 3 ปีที่แล้ว

    well done

  • @mainehays235
    @mainehays235 4 ปีที่แล้ว +1

    Wow thankyouu!

  • @fpt8819
    @fpt8819 5 ปีที่แล้ว +2

    thx

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    @CherukuriLakshayTejaSaiCvss ปีที่แล้ว

    good job

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    @Fortniteupdates-k1b ปีที่แล้ว

    Appericiate it❤

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    @nlaveti 2 ปีที่แล้ว +1

    TO GOOD

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    @cocogabrielle2005 3 ปีที่แล้ว +9

    Y'all always commenting nice stuff and he never responds

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    @heyzhchenle 3 ปีที่แล้ว

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    @graploicei 4 ปีที่แล้ว +1

    I still dont get it

  • @jankielfancuvilla2565
    @jankielfancuvilla2565 4 ปีที่แล้ว

    Watching in 2020 because can't understand self learning modules