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

[@laurelcook9078]

I'm only now learning this in college calculus. You guys in 8th grade who know this deserve a medal or something.

[@valorrye2342]

I dunno how Thais and the Americans call their class by age, but I'm 13 and I'm already learning this. I was surprised to see that this is calculus.

[@dakshbrar565]

@@valorrye2342 this is pre cal 30 for me lol

[@jaspergu8054]

I’m in 6th

[@layshatzita3715]

Lmao I'm in honors math in 8th grade and we're doing this 💀

[@mufidhmuhsin2314]

Laurel Cook thanks lol

[@dresthon]

Isn’t it so great being put into an advanced 7th grade math class so you can cry over this at 3am the day before a test

[@MuhammadAhmed-oj5wc]

Sadly in my school there are no sets or advanced stuff until I’m 15

[@3NT1TYY]

lol same i have to leasn htis stuff in grade 7

[@broccolisalad9556]

Just wait till u learn functions :)

[@jeffthevomitguy1178]

@@broccolisalad9556 functions are more important tho.

[@stephenzaccardelli5863]

Good starter for accumulation and differentiation. I remember this as a young teenager 35 years ago or more. Wow 😆

[@stevenf6636]

I have looked everywhere just to find out a non formal definition of a geometric sequence and you sir have rocked my world...

[@speedybast494]

how can you write so well on a computer program!?!?!

[@thomasdeng7659]

+Speedy Bast I K R I tried writing tiny on paint(the app), I failed awfully

[@Toxicblackmambahs]

he's using a wacom...... Noob.

[@mattias2576]

@@thomasdeng7659 probably not using a mouse....

[@TLA-mj9ji]

Using a tablet to right on

[@revadis2220]

then how does he move the cursor without writing

[@mialaure1]

Thank you, so much, literally I take 8th grade Algebra1 and this is all so new to me, and I move in a slow pace so I end up not understanding most of the topic and I end up having a hard time with it. But your video has made this so much clearer and I'm just so thankful right now :)

[@sosman747]

mialaure since when did ken kaneki study math?

[@dakshmota3480]

The same exact thing is happening with me, but this helps a lot:):):)

[@dododave1601]

8th Grade? I am learning this in 7th.

[@dakshmota3480]

So did I but in my 8th grade class we are reviewing this again so we don't forget.

[@dododave1601]

aww man i dont wanna do this next year

[@Hammersmashedd]

I should be paying you instead of my useless college.

[@julymagma4433]

what math level were you taking?

[@marydmajors9627]

I am doing this in eighth grade!

[@sus-ho6ck]

@@marydmajors9627 Sameeeee

[@utkarshbhardwaj7356]

@@marydmajors9627 okay so fine we are so proud of you that your are doing this in 8th . But if in future you choose suppose business administration you have a subject called business mathematics. In that subject these chapters are their. So the people who haven't revised or have not studied maths from from past 3-4 years might have a problem doing it . So for god sake dont show off

[@isabellaj4295]

@@marydmajors9627 samee

[@calen_chan]

I was just going to say the same thing! You beat me to it. :)

[@tarunbaskaran558]

who in the fk are u talking to?

[@jcurrell94]

Found these while studying for finals. Will use these for the rest of my engineering math classes. Thank you Sal!

[@lesandunishsanka]

After all of these years , You finally got a reply

[@olgaslavkov3444]

When you don't even need your math teacher bc khan explains it better than your dad.

[@naveedishtiaque]

what?????

[@simrahq4712]

So is your dad your math teacher 😂?

[@PK-uj8mp]

Dad explains better with a belt

[@blacktaildeer2484]

My dad explains it better. But he's not here with us now... so i have no choice but to use Khan academy.

[@Dxk1038]

bro called he’s teacher and dad out 💀💀

[@giannaphillippi1898]

If i could just sit down in a class with you and you were my teacher, I might not be failing!

[@rap4ever12]

omg!!! just in time sal!!! my class is doing arithmetic sequence and soon geometric sequence soon... thank you soo much

[@pianodna-james3147]

10 years ago comment and a 10 month ago reply, wow

[@monikagupta4185]

Ohh ny god guy you an og .. i would be shocked if you reply

[@sleepingkenny206]

anyone else feel in love with this guys voice

[@toraOniku]

Ohh I have been watching so many videos just to hear his voice...

[@shoaibKhan-gg4wj]

@@toraOniku uh u good bro

[@toraOniku]

@@shoaibKhan-gg4wj lmao I'm not sure-

[@luisseisabelb.torion6186]

lmao i thought i was the only one

[@Goofmobber]

Whenever I hear your voice explaining a subject, I already feel better about it... :D

[@박시우-p6q]

0:52 feat. a mosquito

[@burnjew]

peter parker hehe

[@burnjew]

Woah

[@daadaa6356]

lmao how did u catch that

[@lanazenney3700]

thank you for saving me during junior year. you rock.

[@Raza__12]

Your voice is so clam and soothing Khan. I smile the whole time when I am watching your videos. 😄

[@MrRagerrKSG]

subhan raza Khan is a math program .. not him

[@Raza__12]

Ivan Andaluz His name is Salman Khan and he goes by Khan.

[@mays9173]

Thats one of his employees, he doesnt actually explain this stuff. He's the CEO he has no time.

[@valorrye2342]

@@mays9173 www.google.com/search?q=khan+academy&rlz=1C1JZAP_enTH729TH730&oq=Khan+&aqs=chrome.0.0j69i60l2j69i57j69i60l2.2004j1j1&sourceid=chrome&ie=UTF-8 wow...

[@olivia_chen]

his employees make videos as well, but not as much as him, most of the video explaination were done by him when he started the channel

[@mariyah7236]

I literally stopped paying attention for a second an now I'm lost

[@MagICskattER]

Sometimes i think of bunking class and sitting on KZbin and stare at Khan Academy Videos all the time!!!! FUN, UNLIMITED PRACTICE AND BETTER KNOWLEDGE!!!! Easy to Grasp.....

[@SirArsenic]

such an elegant hand writing

[@liquidjorge]

who the hell dislikes this videos?!

[@juvenoiachild7675]

+liquidjorge i did

[@juvenoiachild7675]

because fuck math

[@juvenoiachild7675]

Well little boy I you must know I came here because I forgot how to do this in school 2 weeks ago. I looked it up. There is your life fully complete now? Will you sleep easy?

[@juvenoiachild7675]

Im done with you

[@michaeldinh2449]

+Captain Spoofy Holy crap I just found the stupidest person on this comment section. "Man I really need help with my Math work, I'll look up some guides and tutorials online to help me with that problem and then dislike the video because I don't like the subject."

[@mrart2252]

10 mins of yt classes = 1hr of schooling classes

[@LilyTagoe]

This video has really helped me thumps up

[@snyclan8637]

this man saved me in 8th grade 100%. You're my savior.

[@aramanthine]

Sir, I would like you to be my math teacher.

[@thehappyshape]

SAME

[@crossfire818]

your better then any math teacher!!!!

[@Daski69]

shouldn't the 12th jump be the function of: 120 x 0,6^11 and not ^12? :S

[@sofia1534]

Daskie69 why? I have a test tomorrow please explain...

[@seminawahab5754]

@@sofia1534 no

[@kjca7890]

Uhhh u shouldnt interchange the word used "bounce" to word "term" it says 12th bounce not the 12th term in the series. I hope its not too late for me 2 help u

[@D4NIB4BE]

I like how you used the table to show your work. So you were using a geometric explict form right? I am teaching myself some math courses to challange an exam so I can go to back to school for mechanical engineering ^.^ Thanks for the hard work!

[@aasserihab4262]

best math teatcher

[@supreme_hehe]

Hey sal khan I am your biggest fan and of salman khan also 😁 I just wanted to say that at 2:41 it should be 10/9 Ops I'm sry you corrected yourself at 3:04

[@ThePrincessa331]

Gonna pass my final because of this👏🏽

[@matthewmorales1798]

this guy is the truth BEST SERVICE

[@dieforyou8857]

i feel like my brain is still stuck in grade 7 i can never understand this unless I solve like 50 questions on it :(

[@Legendaryhutch]

Thank you so much for this, I didn't understand Geometric but this helped me to understand it clearly.

[@amberproctor3996]

thank you!!! your video's really help!!!

[@mervynwinn1852]

this is surprisingly simple and I'm in 9th grade

[@unrivaled37]

thank you very much! from San Salvador, El Salvador (Central America)!!

[@Aretim5882]

Great job Khan. This is why that I have to go to bed early for this. I still had to get some rest for geometric sequence Tomorrow hopefully.

[@shaashwatlabde]

This was very helpful thank you

[@exce11er]

I have a test on geometric sequences on MONDAY!!! PERFECT TIMING SAL!!!

[@Unname-k3r]

Let Allah reward you in the world life and in the last life

[@Decco6306]

This seems useful for compounding interest

[@Mahima-f2t]

Thankyou once again siiiir ❤

[@pause-itivevideos]

i undersand what your teaching, but it seems like my questions are different! A1= 20, R = -0.07 ???

[@danyalshah9819]

Still confused about the zeroth bounce .......it should be (0.6)11×120 rather because starting from 0 the 12 bounce will be the 11th one

[@NoHemlockForMe]

Shouldn’t the 12th bounce raise to the 11th power?

[@PabloEnoc01]

yes, the correct answer is 0.435356

[@bamachikaboi]

not if you start from 0

[@quinndelano8837]

oh, if only the website still had the old videos. they are so much better than the new ones.

[@Brownsuga1290]

great refresher

[@darkblader061]

watch the full video, he corrected it at 3:08

[@isaachayman9231]

Hey do you know how to do calculas?

[@danieldrewbustillos3380]

10:31 isnt it the n should be 11? Because its 12-1? Im confused

[@gleichzilibertia1977]

In my opinion, School just only a places where we attended to keep out and be socialization.

[@zack_120]

2:42- This is how humans make mistakes where the last term should be 10/9, not 10/3!

[@RASTA510420]

Thank you!! this helped me a lot :D

[@gordonlove144]

I had just typed "5th term should be 10/9" whwn you corrected it. :-)

[@mohammedamraltamer5431]

Thank you helped alot

[@dapp_er]

Thank you sir ❤❤

[@biancastonge5167]

This helped me so much!

[@Justdofacts]

Bro I don't really care about math, but my math teacher is giving me a test on sequences and she doesn't how to teach, so thank you

[@sorianoarianne3121]

i sat down for one hour and learn nothing but learned everything in 10 minutes ?! then my dad explained the rest, why am i going to school even

[@franciosmarchendie3218]

sir ur just amanzing........!!!!

[@_tony539]

anybody know where i can get good arithmetic/geometric sequence exercises online?

[@iceninja4607]

_ tony Khanacademy.org

[@tanmaysrivastava4454]

For the 100000000000000000000000000 bounce it would be [(0.6)^100000000000000000000000000]*120 which is ~ 0 so that means rope doesn't have a length, how did Anne jump? They should have given that bounce happens certain times.... Please correct me if I am wrong

[@shambles6313]

very good vid thanks

[@ashifye]

awesome vid!

[@HotPepperLala]

Do some converges/divergence tests videos

[@GOODBOY-vt1cf]

thank you so much

[@unrivaled37]

continue doing these videoss I think they are very helpfull!

[@bekboy2446]

you have a job naw isnt it

[@PowerofDreamsHONDA1]

I love this guy

[@liamkelly2191]

anyone notice he did 0.6^12 instead of 12-1

[@iluvdogs777]

It's supposed to be like that because this problem doesn't need an n-1 since it starts at 0

[@emmanuelromero1946]

So for the 2 bounce it would be n-2?

[@LoLTime143]

+Emmanuel Romero 1 on n-1 is constant. The n is the bounce

[@annikatennis]

6:49 so, n is the jump # ?

[@LiamHarrington97]

Very helpful!

[@sougatadeb1977]

Dear Mr Khan in the video geometric sequences at 3.03 minutes, won’t the number be 10/9? Am I wrong in interpreting?

[@NapoleonTotal]

thanks Khan

[@shadocodes5040]

This didn’t even cover finding the general term of a geometric sequence I am so boned😰 I can’t find a single video that actually helps.

[@shadocodes5040]

I got a 77 on my test. My grade is not a 81%. Let’s hope my finals go well. I pray you all good luck in hopes you can understand stuff easily and succeed. Don’t give up even when it feels hard, because usually your effort will show!

[@stormbreaker7667]

He did

[@rathin204]

I wish you were my Maths Teacher :)

[@ultrasupergod1207]

Anyone watching this in quarantine?

[@Lalalalacee95]

I get it, but my math book confuses me??? Oh well, at least I get it! This really helped a lot! Thought I missed a lot of stuff, because I sit in the back of class and have poor eyesight, :(((( Now it makes sense.

[@junaidmusabbir9194]

Thanks a lot!

[@jacobmilton]

Great stuff! Loved the clarification of series and sequence.

[@jude713]

skipped the day before a quiz cause of dirt bikes and still gonna pass thanks homie 😂

[@kultome]

-10/3 x -1/3 is equal to 10/9 mr. khan. 02:58

[@shenzi1118]

Cool video.

[@Jun-cz9cv]

when you understand the person in the internet than personal

[@brado2558]

Huh

[@sethywethyt]

6:20 Strelch🤚🏼

[@ivenalvarez3756]

Where did u get 90 and -1/3

[@harrislopes5208]

What if we divide the number

[@Trega2gamer]

Bruh this video popped up on my for you page and I’ve been out of high school for 6 years and I’ve been out of college for 2 years💀💀💀

[@vericahchirwa5492]

thanks

[@francescalynch4397]

anyone else cramming gcse maths hella last second lmao

[@ShreyasChhabra]

So if the sequence starts with 0, you dont have to put the -1 in the formula??

[@simrahq4712]

I believe so

[@lofylii]

LMAO I GOT CONFUSED AT 10/9 I THOUGHT IT WAS REALLY 10/3

[@cavalos94]

I'm a physics major junior watching this before taking math methods because I retained 0% of this when I first learned it.

[@mood5709]

Thx

[@Anonymous-ov9nn]

at 2:43 the fifth term is not 10/3. Its 10/9

[@deltacode8576]

Please explain. Why is it raised to the 12th power not 11th? I thought, it is n-1?

[@sunandaguru6133]

Dude...sorry I can't resist reading comments

[@ibrahimelsayed1734]

same

[@mmmnnn6024]

I'm in 11th grade and I have an exam on this tomorrow

[@abdoahmed2161]

I am not sure but I believed that you made a mistake when you relabeled the jump to bounce because you shifted the numbers down it seems that the zero'th jump was 120 ft long that doesn't make any sense can someone explain please

[@zergak5481]

what if u want to add a number to a

[@davidpeteraluko9376]

Guys that will be learning it in 7th grade Im learning this in 9th grade