Writing a formula from a sequence

For more videos and interactive applets, please visit www.MathVillage...
Learn how to write a formula for finding the nth term when given an arithmetic sequence.

[@dhabecker]

Hey folks! Thanks for watching this video! Please help me out by subscribing to my channel! I make videos like this ALL THE TIME! Click here to subscribe: kzbin.info

[@nithyasreeroullettrackands3872]

Please bro

[@alyssa407]

I LITERALLY HAVE A MATH TEST ON THIS TOMORROW AND MY TEACHER SAID THAT I SHOULD ALREAY KNOW THIS AND REFUSED TO HELP ME. YOU SAVED MY LIFE THANK YOU SO MUCH!

[@sdfzz839]

Your teacher is a prick

[@S4mxcorzx]

Lol tomorrow is my exam and like I didn't study fr

[@impmadness]

in case the teacher explained it once and you didnt pay attention then do next time, if its otherwise then your teacher sucks, thank god for the internet and be one step ahead of them

[@frmo11.]

@@impmadness what if you payed attention but forgot

[@impmadness]

@@frmo11. Then you probably didn’t write it down, that’s not a crime but it shouldn’t become a habit or else you’ll always have to spend more time trying to understand what they taught you again

[@trashyren7847]

I used to be really good at math, but since online classes have started i have gotten lazy and brain became foggy and now i cant solve math problems as efficiently as i used to but thanks to this video,i learned that i still can solve it even if it took me 8hrs of finding the correct youtube video just so i can follow my teachers formula and way of solving. Thanks Sir, truly grateful for people like you. Love from the PH

[@LovelyLilyRoblox]

Same :)

[@danielo9097]

I say here and watched 3-4 minutes of this and learned more than what my maths teacher taught me in an hour. Thank you, you legend

[@astrid5652]

Honestly I learned better from this guy then my math teacher that claims he’s been teaching for 27 years

[@atulofau9006]

it's different when you are learning in the classroom and learning by your own watching the video. there is no distraction here, while in the classroom there are lot thing that kills your focus. not trying to defend your teacher, but most people learn something much easier when they are 100% focus

[@sweatyslush9513]

@Charli lol

[@sweatyslush9513]

@no thanks ye she is

[@johnlloydpua6021]

Your just stupid

[@ksw.__.08]

@@atulofau9006 it is online school

[@marinagonzales8252]

You have a gift for teaching math simply to a broad audience!

[@dhabecker]

marina gonzales Thank you!

[@hillarythomas8612]

Iol :-) you're talking to truth bro he's gifted to be a math teacher

[@AghaandSon]

My skills have been blessed

[@lilytegnestedt2628]

I have been struggling to understand this, and you explained it is a very simple and good way. Thank you so much!

[@theprettiestgirll]

You’re my brothers teacher- He told me his teacher has a KZbin channel and- I found it lol-

[@Ashes2Ashes_Blush2Blush]

I just wanna say that most of the videos that I've seen have been people that I have observed being left-handed. These kinds of videos have helped me well, and they seem to always know math better! ?

[@diarmuidsheehan4927]

Explained very well. You’re a great teacher!

[@aaisha8268]

Very wisely and easily explained. My concept wasnt cleared from book...finally glad...thnkx

[@visualsjayg]

A true life saver sir. I commend you on your dedication and I truly appreciate you knowing about what you are doing sir. Thank you! ;-)

[@dhabecker]

I'm glad I can help! Thanks.

[@abdihaadiige1178]

the most great teacher of all. I wouldn't be surprised if you became a maths teacher in oxford or harvard if you live in America

[@Aaron-hh8nx]

Can you do a video on algebraic form of an arithmetic sequence

[@pastryy1288]

I wish i have a teacher like you..A teacher that not strict to the formula and let the student understand in the way that is easier instead of keep remembering the actual formula

[@candybear4264]

OMG in in 7th grade in Canada about to do my ministry exams for the government and I never understood this thank you so much I might have a chance of passing now

[@youngins4254]

did u pass lol?

[@hillarythomas8612]

MY teacher was giving me this and I never know what to do believe me when she sent this video I learnt every thing I needed to get the work correct

[@Hannah-rx6yf]

I was sobbing because I have a math assignment due at 12. Your a god send, THANK YOU

[@maybkatie358]

This is so helpful! I'm not feeling very well the day before my math midterm and can't be bothered to dig through all of my notes trying to find this.. thanks a bunch!

[@alejandraaalbanil]

its been 9 years and your still saving lives

[@tuckooker4432]

Great way to identify a sequence and explain what an algebraic expression is!

[@r4z713]

didn't understand anything for my test until I saw this life saver!

[@dhabecker]

+R4Z king of kings I am so glad I could help!

[@thedancingpen9431]

Thank you!! This was really helpfully when I was trying to understand rules in sequences and patterens for my Maths exam. Why didn't my teacher teach this way? This was way easier to understand and way quicker!

[@cookieclaws7492]

This teacher is amazing! I have a Math test coming up VERY SOON and I think this is on my test.. thanks

[@tvgvideos2751]

I learned a half our math class in seven minutes

[@gracylee3545]

TRUEEEE! Me too!

[@dppcgaming786]

+Gracy Lee And my parents say that KZbin is bad for you especially before your GCSE's. Well I have proved them wrong

[@dhabecker]

+DPMadGames KZbin is a tool. Just like any tool, it can be used wisely or foolishly. I hope my videos help you to use KZbin wisely! :-)

[@jamalhossain4765]

Duane Habecker

[@jacquelinmalgapo1000]

Felicity Mannin

[@sophiedauteuil5285]

I just learned this today in school and I didn't understand anything. I searched this up to help me with my homework. It really helped me understand. Thanks a lot!

[@luluahmad929]

omg thx aloooooot i had a progress test tomorrow and i didn't understand but u saved me thnx aloooooot

[@stressedbitch2539]

Omg u saved my life. I'm revising for Mocks and we didn't have great teacher for the past 2 yrs so we didn't know the basics, thank you.

[@SnowmanInABlizzard]

Thank you for posting this. I wasn't in a learning mindset when my teacher went over it.

[@Kittyvonlitter]

Thank you so much for the perfect explanation, I had to help my 11 year old daughter with her homework and this helped me immensely.

[@BNBWithCherish]

thank you so much, my teacher sort of taught us to “guess”. .you’re awesome. i knew there was a simpler way, thank you.

[@tan_kp320]

You are literally my savior I have a cycle test tomorrow and u saved me thank you so much

[@dhabecker]

You are welcome!!

[@romypie3725]

If all my math teachers had had your patience and methodology, math would have been a wonder, not a nightmare.

[@LatinoPrototype]

This was incredibly helpful. By teacher never showed us arithmetic sequences. All his examples were very basica additions etc. Thank you!!

[@dhabecker]

You are welcome.

[@lillyanna8583]

I wish you were my teacher !! This video helped me a lot. I understand it now, I just need a little more practice. Thank you so much 😊

[@nithyasreeroullettrackands3872]

Help mi bro

[@jordanadkins4362]

I did the first problem with you (before doing any multiplication or addition; just thinking about the problem) and came up with the formula: 7+3(n-1) My reasoning is you're starting off with 7 and you want to add n multiples of 3 to it. Hence 7 + 3n, however the first term 3n must equal 0 when n is 1. Easiest way to do it? 3(n-1). The first term would be 7 + 3(1-1). The second term consequently falls into place as does the third and fourth. Now, rearranging 7 + 3(n-1), you get 7 + 3n - 3 and that my friends equals 4 + 3n. Shows you there are multiple ways of thinking and solving math problems.

[@amirabayoumy8843]

And to find the plus 4 3:14 you must find the 0 term value by substracting the first term value with the commun difference so 7 -3+=4 which equals 4 and so we need to make a algerbaric expression that works with the constant which is 4 and the coeficient which is 3 and make an algeabric expression by using a algeabric letter

[@gamertruth1993]

nth term of an AP: a nth = a1 + (n-1)*d , where anth is nth term, a1 is first term, d is difference between two consecutive terms i.e a2-a1=a3-a2=a100-a99 etc...

[@bbueno2009]

BRUHHH I JUST DID A WHOLE AVID TUTORIAL IN THE MORNING FOR THIS AND NOW I SEE THIS IN MY RECOMMENDED LITERALLY THANK YOU I HAVE A MATH TEST TOMORROW ON TOP OF FINALS IN 2 WEEKS

[@michaelacavoli5188]

THANK YOU SO MUCH! U ARE THE ONLY PERSON I UNDERSTAND

[@tapanmondal2515]

Michaela C.

[@dhabecker]

Cool!

[@jenskuipers4598]

same!

[@MathsclassKI]

Good comment

[@ivleenk3959]

I cannot thank you enough! You've taught me what my teacher failed to do so. Thank you so much!

[@dhabecker]

Happy to help!

[@HamburgoYT]

I wish my teacher tought as well as you did. My teacher thinks we already know this and teaches everything lazily

[@dhabecker]

I'm glad I can help!

[@2soon900]

Hamburgo lol

[@devineolubakin3870]

Same for mine he goes through it to quickly

[@flashvideos2287]

that's my teacher lol

[@covid-19workplace24]

Ur teacher probably thinks that ur smart

[@lil_imo1723]

I actually have a test tomorrow and thanks to you know I know what to do

[@alimehdi6263]

Thanks for such a nice lesson I really like the way you were explaining I wish that my teacher also teach like you

[@kumarprashant177]

Love from India ...Sir ....wow ....superb teaching method.... reminding my school Arithmetic Progression Topic..

[@peytonsmith579]

OMG, you explained this in a better way than my teacher did! I didn't understand the way my teacher taught this, SUBSCRIBING!!

[@dhabecker]

PeytonSmiles I am glad I was able to help!

[@dhabecker]

Awesome! I'm glad I could help!

[@byrone9174]

wow that is so funny the same thing happened to me

[@b8ne569]

Same but I still don’t understand this recursive and explicit shit if anyone knows what that is I would be great-full as my math teacher is about as good at teaching math as he is at being enthusiastic about teaching math

[@DanoHindi]

Can this technique also work to find the 1000th term??????

[@isabel6578]

but how do you know to try adding or subtracting 4 for the formula like i'll probably take forever to find out

[@JoeMamma1923u]

Well you take the answer of the multiplication before the modification, and subtract/add whatever number is needed for the number that you need to make that formula true

[@georgeclooney5141]

My name is George Clooney !!! i am very grateful sharing this great testimonies with you, The best thing that has ever happened in my life is how i win the lottery. I am a woman who believe that one day i will win the lottery.finally my dreams came through when i email Dr Mofar. and tell him i need the lottery numbers. i have come a long way spending money on ticket just to make sure i win. But i never know that winning was so easy until the day i meant the spell caster online which so many people has talked about that he is very great in casting lottery spell, so i decide to give it a try.I contacted this man and he did a spell and he gave me the winning lottery numbers. But believe me when the draws were out i was among winners. i won 105,000,000,00. (ONE HUNDRED AND FIVE MILLIONS DOLLARS) Dr. Mofar i truly you are the best, with these man you can will millions of money through lottery. i am so very happy to meet these man, i will forever be grateful to you. Email him for your own winning lottery numbers: [e-mail] or WhatsApp Number: [phone] or [phone].He his real and powerful you can also talk to him on self phone and you can reach him on his page :facebook.com/Dr-Mofar-spell-temple-108773561314167/

[@Jake-jm2vj]

i never comment on these vids but im not gonna lie this was SO useful and i learned exactly what i needed within 3 minutes thank you

[@dhabecker]

Glad it helped!

[@khaledalzubaidi9228]

I wish I had a teacher like you, thanks man

[@dhabecker]

Thank you for the kind words! Good luck with math.

[@Tina662AJ]

OH MY GOSH THANK YOU!!! I thought this was a complicated lesson but you made it so much easier to understand! THANK YOU AGAIN!

[@KaOlsonSFX]

why doesn't my math teacher teach like this

[@라엘의고독]

Karrieann Olson haha. U wright

[@kellykeilber6646]

Friends I found a formula to win a lottery at tinyurl.com/y8exv43j all you friends should try it….

[@noramsp1269]

My math teacher doesn’t do nothin all she does is put her ass on the chair and sleep 💤

[@eduardogaldino3670]

Your teacher is controlled by sharks that don't want you to know, so they're kids, friends, relatives know more than you...

[@eduardogaldino3670]

You were wright, the machine wrought,kkkkk

[@phoebebinley9758]

THANK YOU SO MUCH !!!! I learned more in 7 minuets than in an hour lesson :)

[@pabloespinosa1888]

thank you helped alot, do you know how to do this but in a recursive form?

[@yudi.g9544]

Reksive

[@davidyos2575]

I'm a software engineer and this video helps a lot

[@FrancesFotografia]

Thank you very much Sir :) the lesson really helped me

[@dhabecker]

Frances Roman Sajor My pleasure!

[@haydenrunge8053]

I want to say that you get an extra 100 views on your videos!Our 5th grade watches you almost everyday!Thank you so much!

[@dhabecker]

That is so cool!

[@laurenmcdonald1190]

Thanks so much, it helped a lot and you explained extremely well! 🤗

[@MathsclassKI]

Good good

[@zeenatlila9616]

this video was amazing i wish my math teacher teaches like this i can barely understand him because of his accent and just in general he teaches way to hard! thank u so much

[@sherlyray7312]

My math teacher confused the hell out of me. Thank you for this!

[@shanewolf4]

He is a great teacher he explained it so well and no way complicated thankyou very much,,,

[@ozanyaman4203]

Ty man my exams are coming and i needed to learn this haha tysm

[@jellllllly]

This guy teaches us like we're humans who are able to understand things instead of using a long, drawn out explanation of every little step

[@rademaxwell3436]

duuudeee thank you soooooo muchchhhhh i didnt understand anything in school until now u r amazing man HELLLLPPPPEEEDDD MMEEEE SOOO MCUHH!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

[@gayathridevisaravanan1762]

Cool stuff

[@suantiniharsono572]

Rade Maxwel

[@jessicamedina949]

I'm literally on the way to my math quiz and could not understand this for the life of me all week. Thank you!!

[@vee4vynz504]

I am sharing this RIGHT NOW.!!! My teacher never got that trick how did you get it

[@georgegame5995]

You always give me 100% on my quizzes and homework!

[@currychomper123]

My math teacher claims she has been teaching for 15 years but i learned my days math hmwork in like 7 minutes

[@jjjsjje12ie]

Finally find this formula that I've been searching for 2 months

[@celineaquino6614]

what if the first difference is not the same? how will you compute for the formula?

[@SquishSquish]

Celine Aquino you see what it goes up in and then use that as if it was your sequence. if its still not the same difference keep going until it is

[@MathsclassKI]

Yes..

[@nikolayurukov5127]

Thank you for the amazing explanation. It was straight forward and quick and not in a confusing way,

[@SmileEvErydAy]

I want to find a generalized term of a sequence whose common ratio is an arithmetic sequence

[@richac_]

This was very helpful and this definitely will help me with my test tomorrow.

[@eriche8648]

Holy crap, u explain better than my TEACHER

[@abhadchaube2658]

You're a life saver....loved it

[@KariisWORLDD]

Really helped, Thank you! But i really have trouble finding the formula for this sequence: 3,9,27,81

[@dhabecker]

***** Yes. The formula for 3, 9, 27, 81 is 3^x, which means "3 raised to the power of x". The first term is 3, the second term is (3)(3), the third term is (3)(3)(3), the fourth term is (3)(3)(3)(3), etc. To get the answer for the 10th term you would have to multiply ten 3's.

[@Larry342516]

Duane Habecker How will it help anyone to win the Lotto? Video is a joke.

[@RaosChannel]

the sequene is called geometric progression. Here the common ratio between any two successive terms is same. for ex, 9/3=3; 27/9=3 and 81/27=3, so to find the nth term the rule is a(r)powered by (n-1); here r= common ratio , n is the required term a is the first term of the sequence

[@ahmedbabar470]

God bless you sir! You explained it soooo well. Thank you for this!

[@kalistamoshier3257]

Dang I'm watching this in 2020 when it was posted five years ago.

[@kgolaganobogopa5847]

9 years

[@brendansullivan1293]

Thank you so much, this problem is pretty basic but it really helped me on my homework. I couldn't have done it without this video. Once again thank you!

[@dhabecker]

I'm glad I could help!

[@linasuleman3486]

what if the sequence is not all the same difference apart and you would have to do a second difference

[@kgolaganobogopa5847]

Ikr

[@ashadow2182]

Thanks! This was so helpful! I have a test in 15 minutes and this helped so much!😊

[@ntokozoshezi5679]

thank you, you have helped me very much now I will pass my mid term exams

[@dhabecker]

All the best

[@olaomar6575]

if i have a recursive sequence 5,6,9,14,21,30,41,54,...... what is the function

[@FuzzyFuzzy871]

4 + n

[@olaomar6575]

No it's wrong because first 5 in index 0 4+n first = 4 because 4+0

[@sudhansukumar6105]

You are world great teacher a big salute

[@sudhansukumar6105]

👌👌👌

[@cippycups7348]

u explain very well. upload/post more examples please!

[@saintsrobbed6450]

THANK YOU! 8 years later this saved me.

[@IPaDMaN28372]

you are the best

[@686Mytube]

this is helpful for job applications , some employers have a sequence and ask what is the next number so this helpful for those who don't know basic algebra

[@sunshineshimmer8208]

ugh i literally got so bored that i went to another vid and went to school and leanrend BITHING now here i am looking at this to cheat on my math HM 😒

[@inside5035]

thanks for explaining this for online classes during quarentine

[@aleroanthony5465]

2019? Anyone??

[@kookiesmol-5978]

Hi hi

[@jackgilmore2793]

You should stay in 2019 trust me

[@coolestdino]

@@jackgilmore2793 so trueeee

[@ellie2381]

Thank you very much. You explained it in a non-confusing way and it was very straight-forward, there was no unnecessary explanations. SUSCRIBING!

[@dhabecker]

I'm glad I could help!

[@muhammadtariqjaved4889]

Duane Habecker thank you very very much.I owe you one. this helped me a lot in my level exams

[@horn45]

Finally a video that does not treat me like a third grader!

[@dhabecker]

I try.

[@furiousfaidh6036]

why what is the problem with grade 3

[@omnibrain8]

It has helped me.Thank you,teacher.

[@shamiazami4969]

thank you sir

[@ibrarkhan8974]

shami azami mujha sa doste karoge

[@thelahirusiri]

Amazing talent of teaching... you make it easier to me thank you sir....

[@hamlucas2467]

I am from England where i work as a journalist until i met Expert Mrs AVA. Mrs AVA is legit and her method works like magic. I keep earning every single week with her new strategy.

[@liyah9276]

You're right Sir, it's obvious a lot of people remain poor due to ignorance, it's better to take risks and make sacrifices than to remain poor.

[@liyah9276]

@Muhammed Sani It's not ignorance but due to some unprofessional broker in the market

[@mavelldenis307]

I recently got into this forex trading market and I'm already marveling over the profits I'm making, I'm like "how the hell have i been sleeping on this.

[@apavojames7942]

Same here, I wish i knew about this Bitcoin trading earlier, i advise you brace-up and get yourself some coin before it's too late

[@alonsom.a.1211]

Most people venture into cryptocurrency to be a millionaire meanwhile i just want to be debt free and live comfortably

[@SDEVINTHARUNUWANKALUARACHCHI]

thanks to your teaching my younger sister is able to solve those kind of questions easily .Thanks alotttttt

[@RajaBabu-oh2hu]

sir please Gide me

[@mbmsingh6973]

Raja Babu.Today ending(0.2.4.6.8.)

[@Gaminglevel2]

I learned this by doing-> The Nth term's #= 1st Term + (Nth term -1 x "reason") that would be An=A1+(n-1 x r). (r) Reason would be the number you're adding to continue the sequence. Ex as the one in the video: (7,10,13,16,19...). To find 100th term using An=A1+(n-1 x r) A100=7+(100-1 x 3) A100=7+ (99x3) A100=7+ 297= 304

[@dhabecker]

+Th3Haxor You method will also work. Well done!

[@Shamas1972]

Great one! One of the best video about this topic so far!

[@samsuddoha3515]

Thankyou so much I learnt alot with your best way of formula and teaching method but may I ask are you a real teacher if not you are like one so join the teachers