Introduction to arithmetic sequences | Sequences, series and induction | Precalculus | Khan Academy

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  • čas přidán 14. 02. 2013
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Komentáře • 422

  • @user-hl6zs5jd4b
    @user-hl6zs5jd4b Před 6 lety +1320

    *pretends to understand*

    • @B1SQ1T
      @B1SQ1T Před 6 lety +52

      *actually understands*

    • @unexplained1396
      @unexplained1396 Před 5 lety +36

      I have never related to something so much in my life

    • @ann1ka_p
      @ann1ka_p Před 4 lety +31

      U know what they say 😂 fake it till ya make it

    • @trunchwood5908
      @trunchwood5908 Před 4 lety +7

      Am blank like seriously 😑

    • @jetski2322
      @jetski2322 Před 3 lety +8

      Dudeee sameee. I’m dumb.

  • @farvamo
    @farvamo Před 9 lety +796

    U explained me how to do it in 1 minute and my math teacher had 50 minutes and didn't teach me crap. THANK YOU

  • @bloodykills7509
    @bloodykills7509 Před 8 lety +846

    *QUIT READING THE COMMENTS AND GO BACK TO STUDYING.*

  • @Anonland
    @Anonland Před 7 lety +510

    This is a useful math skill necessary in everyday life.

  • @onelson138
    @onelson138 Před 6 lety +341

    I HATE ALGEBRA WITH A BURNING PASSION

  • @mayarae6272
    @mayarae6272 Před 6 lety +56

    You are literally my math teacher. THANK YOU. In my math class we got 2 days to learn this AND piecewise functions, not to mention the fact that our paid teacher has no clue what she's doing. Honestly, thank you, you're the only reason I'm not failing at this point.

  • @cheezytm478
    @cheezytm478 Před 5 lety +219

    Me: hey, what’s the speed limit? I can’t see from here.
    Friend: oh yeah, it’s an=a1-d(n-1)

  • @chillwatermelon7780
    @chillwatermelon7780 Před 4 lety +70

    My math teacher said if I didn't know this after him writing it out then I was challenged. You just explained it and I understand. Who's big brain now?

  • @Matthew-McCallister
    @Matthew-McCallister Před 4 lety +71

    Currently trying to teach myself Calculus II as my campus has shut down for the remainder of the semester and classes are online. I am a math major so now I have to teach myself calc based physics, Statistics, and Calculus all at the same time from home. This helped so much. Thank you!

    • @Heyoo1400
      @Heyoo1400 Před 8 měsíci +2

      My kid is studying this in grade 9😂😂

    • @princelazaro4943
      @princelazaro4943 Před 7 měsíci

      and your point is? your kid is getting introduced to arithmetic progression, series is a lot more, it leads to the discovery of calculus and limits@@Heyoo1400

    • @Heyoo1400
      @Heyoo1400 Před 7 měsíci

      @@princelazaro4943 bruh why r u taking this so seriously 😂😂

    • @ravikiran4495
      @ravikiran4495 Před 7 měsíci

      @@Heyoo1400 cus you're just that dense Sorry to say

    • @haniyaya
      @haniyaya Před 7 měsíci

      @@Heyoo1400 haha im in 9th grade and currently learning this too 😅

  • @simon333_
    @simon333_ Před 6 lety +74

    Its almost 4am and I have my precalc exam tomorrow...

  • @antonnchindo6006
    @antonnchindo6006 Před 8 lety +169

    I never listen in the math class CZcams math tutorials explain my work in 10 min ain't got time for 2 hour lectures

  • @hazielllanes973
    @hazielllanes973 Před 5 lety +120

    So in conclusion u have confused me more

  • @aileen_0714
    @aileen_0714 Před 10 měsíci +5

    That made so much sense, my teacher took like a week to explain you took just 4 minutes of explanation and now I get it THANK you I have a test on this today I had to see it😭

  • @shanalaus
    @shanalaus Před 4 lety +24

    When you want to learn then your internet suddenly turns off: *i just lost my motivation to study*

  • @Miss_Yuriko
    @Miss_Yuriko Před 3 lety +5

    dude. ty so much. I couldn't comprehend anything during class today and I suddenly feel like an arithmetic sequence god now that Khan academy explained it.

  • @tripppurviance2083
    @tripppurviance2083 Před 9 lety +53

    Where do I donate? My 14 year old and his mother were at their wits' end last night trying to figure this out in a common core math book. Watched this 7 minute video, did homework, went to bed. THANK YOU!!!!

    • @pigeonlove
      @pigeonlove Před 4 lety

      Wow you have Google to find the video and you don't have Google to find out how to donate...

    • @views-dz7cg
      @views-dz7cg Před 4 lety +2

      @@pigeonlove Google is a multi-billion dollar corporation that profits off selling the data of all of their users for advertisements. How much money have they already made off of you?

    • @fushiie9583
      @fushiie9583 Před 4 lety +1

      @@views-dz7cg and yet here you are...commenting on a google account.

    • @ericawu8779
      @ericawu8779 Před 4 lety +2

      @@pigeonlove maybe she does know how to donate, she's just sayin' she gonna donate cuz this hella useful
      Edit: and sometimes google's doesn't find you everything
      Edit: oh ya, lastly, she might've gotten this from khan academy or youtube NOT google
      lmao

    • @boniquer931
      @boniquer931 Před 2 lety

      lucky ur 21 now and u finished from school

  • @edwinniemandt1995
    @edwinniemandt1995 Před 5 lety +24

    WOW THIS IS GOING TO HELP ME IN THE EVERYDAY WORLD. 👍👌

    • @thecornseller
      @thecornseller Před 3 lety +3

      nice one bro

    • @nakamurasupermario64miyamo61
      @nakamurasupermario64miyamo61 Před 3 lety +4

      I thought exactly like this in high school, now I have an anime profile picture and I'm making $13 an hour at a dead end job trying to re-learn math to go back to school.

    • @Whatyulookinat
      @Whatyulookinat Před rokem

      @@nakamurasupermario64miyamo61 hi… what happened ? U returned to school?

    • @nakamurasupermario64miyamo61
      @nakamurasupermario64miyamo61 Před rokem +1

      @@Whatyulookinat I recently got a raise to $25/hr at the same "dead end job" I was referring to. Getting good at math was a big part of that though because it kept my mind sharp and able to sort out complicated situations in a very efficient way. I'm still studying math because it's difficult and not having a mountain to climb is boring and depressing.

    • @nayshaprasad8318
      @nayshaprasad8318 Před 8 měsíci

      depends on the job you take???

  • @chadedgeworth9369
    @chadedgeworth9369 Před 6 lety +34

    What would we do without Kahn Academy

    • @shatter3374
      @shatter3374 Před 3 lety +4

      @Alan Guchemand facts like when am i gonna use this!?!?!?! in life

    • @anon8197
      @anon8197 Před 3 lety +3

      @@shatter3374 pretty sure society wouldn’t be as advanced as it is if students weren’t forced to learn this, but who knows.

  • @ericawu8779
    @ericawu8779 Před 4 lety +23

    "arithmetic"
    who else pronounces it differently?

  • @reptilelover2129
    @reptilelover2129 Před 3 lety +6

    Different math types are specific to each job. So to the people who are asking "WHEN AM I GONNA USE THIS!?!?" It honestly depends where you work.

    • @nakamurasupermario64miyamo61
      @nakamurasupermario64miyamo61 Před 3 lety

      I said the same thing during my math classes in high school and looking back, that's probably one of the worst mindsets I ever had. I graduated not knowing what I really wanted to do. Now I'm 23 and want to be an engineer and I have to relearn everything if I wanna go back to school.

    • @nakamurasupermario64miyamo61
      @nakamurasupermario64miyamo61 Před 3 lety

      @Lil smackaroo Yeah, go for it and aim high. After high school it's easy to hop into an entry level job "temporarily" and before you even have time to realize it, you're 23 and watching everyone you went to high school with graduating college and getting their dream jobs. Fortunately that slapped me in the face while I'm still young and have at least 42 years of career left.

  • @krutomjer
    @krutomjer Před 11 lety +10

    Congrats, your accomplishment will be eternally celebrated

  • @muhammed-amiinmuhamud5387
    @muhammed-amiinmuhamud5387 Před 7 lety +24

    im freaking out

  • @katzbeanz
    @katzbeanz Před 8 lety +8

    this helped, me with my math homework,

  • @vaishnavchandra5220
    @vaishnavchandra5220 Před 3 lety +4

    Thank you so much. U hv'e no idea how many lives u have saved

  • @asselann9870
    @asselann9870 Před 3 lety +13

    You can also write d= a2-a1 , to find the common difference. 💖

  • @wardielaw7856
    @wardielaw7856 Před 2 lety +8

    Literally understood this in like 30 seconds after you explained it but my math teacher couldn’t in a 70 minute lesson

  • @aki-kf4bo
    @aki-kf4bo Před 4 lety +5

    Woah this taught me so much

  • @digo901
    @digo901 Před 6 lety +12

    Thanks from Brazil. You're helping with math and with my listening in English! :D

    • @lucasants4872
      @lucasants4872 Před 4 lety +3

      I too XD. I am 13 years old and I have been only watching videos in english and reading english books in PDF to practice my english.

    • @user-fh2rw9zh8g
      @user-fh2rw9zh8g Před 11 měsíci

      ​@@lucasants4872hello there, you're now 16 years old. I hope you keep up this mindset

  • @tr4629
    @tr4629 Před 5 lety +4

    this saved me when i wasn't getting the difference between the concepts at all

  • @dbzfan655
    @dbzfan655 Před 6 lety +10

    I remember this in High School. It was pretty straightforward. Thank you for the video.

  • @madilynharris5969
    @madilynharris5969 Před 4 lety +7

    When I understand this in 4 mins and my math teacher couldn’t explain it well in a 1hr and 45 min class

  • @bobademon9332
    @bobademon9332 Před 2 lety +4

    *Sweats and pretends to understand while mom glares at me*

  • @lovelydovey7778
    @lovelydovey7778 Před 5 lety +4

    Thank you for this video I understand it now thanks again!

  • @bobfredjeojrsrthe3rd490
    @bobfredjeojrsrthe3rd490 Před 2 lety +4

    Thx man you helped me more in the first 2 minutes than my teacher did in 50

  • @user-lt8vl4tr8p
    @user-lt8vl4tr8p Před 8 lety +229

    GOD, I HATE MATH!

  • @clownsRscary1
    @clownsRscary1 Před 6 lety +29

    as i watch both rick and morty and the big ban theory i understand all of this,

  • @charmingcurls7401
    @charmingcurls7401 Před 7 měsíci

    When my teacher is explaining this in school, i don't understand a thing. But somehow this guy on the internet explains it in 7 minutes! Thank you so much!

  • @zx6r502
    @zx6r502 Před 4 lety +7

    I already know this why am I watching this

  • @yuphengvang3895
    @yuphengvang3895 Před 9 lety +2

    Thank you so much for this video!!! Now I know how to solve this! Your the best

  • @jaydenchesslife
    @jaydenchesslife Před 4 lety +2

    Intresting! Great video Sal!

  • @hypervenom5960
    @hypervenom5960 Před 3 lety +1

    Well ACT exam in 4 hours and now I’ve can cross this off a long list of rules I need to revise.

  • @Aristothink
    @Aristothink Před 4 měsíci

    Arithmetic Sequences are amazing. It's a good exercise to massage to reinforce math in our brains. Great video. Khan is wonderful to help our students 🙂

  • @mrdxb1154
    @mrdxb1154 Před 5 lety +10

    Easier way : check how many it adds up every time then turn it from positive to negative or negative to positive then the first term minus the change negatively for example -5 -3 -1 5n-7

    • @melvinramos2849
      @melvinramos2849 Před 4 lety +3

      MrDXB wait what? I’m confused

    • @shak273
      @shak273 Před 3 lety

      Me who still doesn’t understand:

    • @lessthanpinochet
      @lessthanpinochet Před rokem

      The way he explained it was just fine and will resonate with more people.

  • @instertname4893
    @instertname4893 Před 2 lety +1

    Thanks there’s a test about this tomorrow and this helped

  • @ickyngo1025
    @ickyngo1025 Před 5 lety +1

    This is helpful !!❤

  • @Aristothink
    @Aristothink Před 6 měsíci

    I love math sequences and specially Khan Academy. Great video !

  • @saadabilmona4389
    @saadabilmona4389 Před 5 lety +2

    Arithmetic sequences can be a set of succeeding numbers that are decreasing. The common difference can be a negative number

  • @dognibbler
    @dognibbler Před 3 lety +4

    imagine having all your subs being teachers

  • @jijgmfamily3210
    @jijgmfamily3210 Před 6 lety +101

    this is so confusing wtf is n

    • @kingviper5700
      @kingviper5700 Před 5 lety +4

      the index

    • @TortureBot
      @TortureBot Před 5 lety +16

      I thought I understood number sequences, and then I watched this video.

    • @hazielllanes973
      @hazielllanes973 Před 5 lety

      Kingviper what’s that

    • @kingviper5700
      @kingviper5700 Před 5 lety +4

      @@hazielllanes973 it depends really, it can be the power (how many times you multiply), or an arithmetic progression (continuous increase of values where the difference is constant) and multiply from those numbers. I think, I've forgotten about this video, so it might not be related, what I've just said

    • @hazielllanes973
      @hazielllanes973 Před 5 lety

      Kingviper thanks

  • @anirudhmenon5281
    @anirudhmenon5281 Před 8 lety +2

    thank you Mr.Khan

  • @maxsotelo1089
    @maxsotelo1089 Před 7 lety +3

    Very helpful :D

  • @carlylexa6113
    @carlylexa6113 Před 3 lety +8

    I am literally sitting in bed sobbing trying to understand this. please tell me I am not alone I can't take school anymore

    • @78anurag
      @78anurag Před 3 lety +1

      It'd ez to understand lol

  • @ekatajaceperinda813
    @ekatajaceperinda813 Před 7 lety

    Thank you!

  • @myronmteul7613
    @myronmteul7613 Před 3 lety +1

    Omg thank u so much it really helped allot 😭

  • @abdallahraafat432
    @abdallahraafat432 Před 7 lety +9

    PLEASE USE A SLIGHTLY BRIGHTER COLOR THAN SOLID BLACK!

  • @KingCadmos
    @KingCadmos Před 11 lety +7

    I can.

  • @ryanfrizzell736
    @ryanfrizzell736 Před 2 lety +1

    Arithmetic sequences = hallmark of life

  • @tedchoi8488
    @tedchoi8488 Před 7 lety +2

    I know that this is not a arithmetic sequence, but what should I say with the common difference of numbers of range in quadratic such as 1,4,9,16,25,...?

  • @shawnjung6799
    @shawnjung6799 Před měsícem

    TYSM

  • @pixelfish3395
    @pixelfish3395 Před 3 lety +1

    How did I sit through and hour of my teacher trying to teach this and walking out with less understanding of math than before I walked in, but come here and know how to do math in ten minutes?

  • @ziziphobusakwe1704
    @ziziphobusakwe1704 Před 3 lety

    Thank you so much.

  • @Joci555
    @Joci555 Před 4 lety +4

    Idk if this helped me or made me more confused butttt thank you 🙏🏽

    • @uncle_.
      @uncle_. Před rokem

      Lmao that's all of sal's videos

  • @rskenny4446
    @rskenny4446 Před 4 lety +1

    Thanks I need to pass my test

  • @wasimgill4101
    @wasimgill4101 Před 3 lety

    Khan Academy, u do wonderful work, but can background of videos become lighter color like white or grey?

  • @darklord-sz2hg
    @darklord-sz2hg Před 3 lety

    Thank you so much

  • @shaqiloneal2605
    @shaqiloneal2605 Před 7 lety +3

    what indicates K and d(n-1)

  • @yaaaserrr
    @yaaaserrr Před 10 lety

    Thank you :)

  • @lorrainegibbons2468
    @lorrainegibbons2468 Před 6 lety

    Satisfying 😣✅✅✅🔥🔥

  • @kevh.2652
    @kevh.2652 Před 6 lety +1

    isn't (n-1) supposed to be an exponent to 2 instead of alongside it?

  • @pokaay3163
    @pokaay3163 Před 5 lety +7

    anyone else studying before their finals say I

  • @Tump3039
    @Tump3039 Před 9 měsíci

    Great Video

  • @honeyandlavender_
    @honeyandlavender_ Před 3 lety +2

    Why do I need this for Psychology, again?

  • @garretta5804
    @garretta5804 Před 2 měsíci

    Is defining an arithmetic sequence how you answer it? also what does the (n-1) mean? what is its purpose??

  • @Kamrul_abc
    @Kamrul_abc Před 3 lety +1

    You have explained with some kind of notation here. Where the lower limit is n=1 and upper limit is infinity. My question is what is that notation? Where can I know more about it?

  • @chanakyaneeti8016
    @chanakyaneeti8016 Před 4 lety +1

    Nice video

  • @notteam6560
    @notteam6560 Před rokem

    I love you thank you

  • @seongsik
    @seongsik Před 6 lety +1

    yeah, but how did he write it with the n=1 to infinity thing

  • @selahstrain1010
    @selahstrain1010 Před 5 lety

    in the a'n' or a'1' what does the 'n' and '1' mean ?

  • @augustusprime0_o
    @augustusprime0_o Před 3 lety +2

    You explained this so well 😭

  • @cindycharestugaycutie2848

    Good morning, I just want to ask permission to use this video for my class discussion purposes only.
    Thank you!

  • @TheVincentVanGogh
    @TheVincentVanGogh Před 4 lety

    Look where this Quarantine led me too..

  • @usuaan
    @usuaan Před 4 lety +2

    lol I have a test on this today wish me luck

  • @santoshkothekar8558
    @santoshkothekar8558 Před 5 lety +1

    Nise sir

  • @jennabaily2282
    @jennabaily2282 Před 5 lety +3

    😔guys I need your prayers, I got my eoc tomorrow.

  • @elkhouryeliza9715
    @elkhouryeliza9715 Před 3 lety +1

    How can we determine the next term of an arithmetic sequence?
    A can someone please answer me I'm so confused...

  • @julijoba9002
    @julijoba9002 Před 3 lety +1

    i have eoc testing in a week, im speedrunning studying when I've never studied...

  • @CxffeeBean
    @CxffeeBean Před 4 lety

    The video just started and I already got distracted by the comments

  • @princesspeachgaming4162
    @princesspeachgaming4162 Před 5 lety +6

    i can't wrap my head around why you use n-1

    • @nazarm6215
      @nazarm6215 Před 4 lety +1

      It's simple. Plugin in 1 and subtract one and you'll get the value for a of 1, to get a of 2 you need to subtract one, otherwise it will give you the 3rd term

    • @HeavenlySunset24
      @HeavenlySunset24 Před 4 lety +2

      @@nazarm6215 This makes no sense

    • @teetsieroll4529
      @teetsieroll4529 Před 4 lety +1

      Nazar Maksymchuk ohhh thank u so much

    • @78anurag
      @78anurag Před 3 lety +1

      Because the first pattern for example adds the previous number of a number in the set with 2. So a number in that set is equal to the preceding number +2 (Just look at the pattern, it follows that way, the pattern itself means that adding to a number in that set gives you the next number, meaning that (a number in that set)+2= next number. Ultimately leading to that the number which we added 2 to is the predecessor of the next number since the operation of adding by 2 gives us the next number). We are going to assume the position of a number in the set as n. The predecessor of that number will be at position (n-1) (since the predecessor is one position behind) .
      From my opening sentence we can write a number as the sum of the predecessor and 2 I.e (n-1)+2. (I'm just repeating this again)
      So we get,
      For a number z with position in n in the set its value is going to be it's predecessor number+2= An-1 +2
      z= An-1 + 2
      A is just a notation for any number so we can replace z with A.
      A= An-1 +2
      Where n is the position of place the number is located is in the set.
      Simple as that.

  • @abbyadamo2155
    @abbyadamo2155 Před 5 lety +1

    Emma do your work and stop scrolling through the comments

  • @asta649
    @asta649 Před 3 lety

    Wow

  • @siennacoventry33
    @siennacoventry33 Před 3 lety +1

    Why is it n - 1 on the first questions??

  • @leelorenz.3889
    @leelorenz.3889 Před 5 lety

    On the first example why is it two?
    I mean the gap is only 1 no. right?

  • @WWJDinAlaska
    @WWJDinAlaska Před 3 lety +2

    I dont know if I'm more confused or not. I'm stressing out, I am failing school. Also told my teacher I would do my homework and I have a meeting with her first thing in the morning. But it's 1:30am and I don't understand still. I'm so bad at math and school. My teachers at school are not good at their jobs either.😨 also why is letters aloud in math.

  • @Spat1o
    @Spat1o Před 2 lety +2

    funny how im 6th grade and my teacher teaches us this

  • @stuffguy7796
    @stuffguy7796 Před 3 lety +1

    Mans handwriting bout to make me act up

  • @alysaloo341
    @alysaloo341 Před 5 lety

    explicit
    recursive

  • @angel-hh1wz
    @angel-hh1wz Před 4 lety +3

    what does the (n-1) mean?
    _please help me_

    • @ryanpowers8973
      @ryanpowers8973 Před 3 lety

      *my exact question like where does that 1 even come from AHHHHH*

    • @angel-hh1wz
      @angel-hh1wz Před 3 lety +2

      @@ryanpowers8973 i think i understand it now, the -1 (in n-1) represents the "previous term"

    • @ryanpowers8973
      @ryanpowers8973 Před 3 lety +1

      angelxxxc ahh that makes a lot more sense. Thank you!

    • @78anurag
      @78anurag Před 3 lety

      @@angel-hh1wz Yes you got it!

  • @abdalrahmanamrmostafa1975

    ya umm I got 119 = 11,480,... in class so I came here

  • @SamGOlave
    @SamGOlave Před rokem

    Me watching this to make a copy of this exact video

  • @ehteshamkhanjadoon9814

    why sequence has positive domain and not negative ?
    replay as much as possible