Writing a General Formula of an Arithmetic Sequence

This algebra video tutorial explains how to write a general formula of an arithmetic sequence. It explains how to see the patterns in to the write a general equation for the sequence. Most of the sequences are arithmetic sequences. Examples include fractions and terms with alternating signs. This video provides the general formula for the nth term of an arithmetic sequence. This tutorial contains plenty of examples and practice problems.
Algebra For Beginners:
kzbin.info/www/bejne/g3nImqV4hbR8bNk
Arithmetic Sequences and Series:
kzbin.info/www/bejne/joutlayGoKirq6c
Sigma Notation and Summation:
kzbin.info/www/bejne/rpLZmKlnop6Zm6c
Writing a General Formula of an Arithmetic Sequence:
kzbin.info/www/bejne/i4HZqoSMa9yNh9k
___________________________
Recursive Formulas:
kzbin.info/www/bejne/f3eri4RsgsZ6bNk
Fibonacci Sequence:
kzbin.info/www/bejne/o4eyY5eZqrdqhpI
Geometric Sequences and Series:
kzbin.info/www/bejne/sIOui2NjoLSIkK8
Algebra and Precalculus Videos:
www.video-tutor.net/

[@TheOrganicChemistryTutor]

Arithmetic Sequences: kzbin.info/www/bejne/o6moenmFbduLgbs Geometric Sequences: kzbin.info/www/bejne/sHuoiJavqKaWapY Final Exams and Video Playlists: www.video-tutor.net/

[@marykeel5424]

This man deserves a Nobel Prize. I mean seriously. He is helping millions of people around the world learn difficult concepts in less than 15 minutes, and it's all free for us to access

[@1nspireVisi0n]

That is true, "In a sense"!

[@ninjaclaw1able]

There's gotta be some award to give this man

[@yasindhaqane8614]

He deserves

[@elisepark6123]

+

[@yousseffady8467]

Hell yea

[@Random23960]

i think i will get a good grade on an exam because of this man

[@4kwalls]

He is genius

[@gervicasor]

Out of all the learning video tutorials here in yt, this is always my go-to channel. Thanks man!

[@pearlearring]

Very calm and soothing voice

[@mathewmwilamubanga7315]

What a great teacher am learning without struggles with your proper and calmly explanations. Thank you very much, sir.

[@stopme2204]

I swear you’re one of the reasons why I’m passing my college math courses thank you 😭

[@jannatkaler6298]

college? or school?

[@stopme2204]

College

[@jannatkaler6298]

@@stopme2204 oh ok.

[@jannatkaler6298]

@Quinnie grade 7 for me

[@BabaSphere]

@@jannatkaler6298 want a cookie? Jesus

[@lchazea.m.9192]

THANK YOU SO MUCH ... geez i was having a hard time LEARNING... took me 5 hours to study. until i watched this video... thank you 3x

[@mambochristel2071]

I am from Cameroon, à County in Africa and I am you highest fan, University student and nothing without you in maths.

[@Jessica_Le]

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

[@andreaclarke6946]

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

[@beverlyfrancis8433]

Wow. You are surely blessed to know all this stuff!

[@hoonigiri]

wOW, THANK YOU SO MUCH FOR THAT CLEAR DISCUSSION-

[@MK-br6yp]

THANK U SO MUCXH 😭 THIS SAVED MEEEE ON ANOTHER LEVELLLL

[@ak-up8fg]

you are the most respected teacher for me. Alot of thanks from Ethiopia 🙏

[@rediethaileyesus5937]

Yo me too im from Ethiopia

[@ak-up8fg]

@@rediethaileyesus5937 glad to hear that😊

[@marcbayoud9608]

why do explain better than all my teachers 😭 respect to you

[@moki2003]

Thanks your much better than my tutor

[@Sevolodon]

Thank you sooooo much! It helped me a lot!

[@NOlR.]

Istg after searching for 30 minutes for every topic i always ultimately end up on this channel.

[@patrickbarnes62]

Another huge thank you! I would not have a passing grade without you my man.

[@joyce7937]

helped me out so much, thank you 😭

[@mxxnpeaches4946]

HI, I don't honestly know if youll read this or what, but im hee to give you my gratitude! I've been struggling to solve a problem for the past 2 hours only to stumble to this video and realize how easy it was. Thank you sou muchh!!! :))

[@reinahirakawa4284]

THIS IS PERFECTLY BETTER THAN MY MATH TEACHER!!

[@luismejia6925]

God bless this man... Thank You

[@heyzhchenle]

you helped me again, thank you!!

[@kenmathisiskenma4257]

This guy is the best when I don’t listen to my math teacher

[@_Indivinity]

THIS HELPED ME MY EXAM WAS TOMMOROW THANKYOU

[@zoochino]

thank youuuuuuuu, watching here 2019!

[@sanniakhan2917]

he is so good at his job

[@jongjong3927]

It helps me a lot thank you!!😩

[@AayushBartaula]

Thankyou soomuch for your help this video is technically awesome

[@chrizjosephromero8272]

Thank you for creating this, it truly helps a lot

[@giemar8307]

thank you Sir... your yt channel is very helpful

[@Mystic3409]

You are the reason im passing maths class so thank you 🤝

[@shivamkumarsah9514]

super amazing, thanks man

[@fams9449]

How talented you are!!! amazing!!!!!! with the bless almighty go at the peak of improvement !!!!!!!!!

[@queue8898]

THANK YOU SO MUCH

[@MineNoTouchy]

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

[@Swon549]

u had online skl 2 years ago ??

[@zerohourdrift]

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

[@akiotakahashisan]

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]

Guess? In maths? What a load of poppycock

[@KirchessPandora]

thank u for the vid it helped a lot

[@sioo4090]

love you, bro. tnx for this

[@c390babol4]

Thank you very much

[@agustinarugilo6167]

Very helpful😁

[@User84367]

muy excellente! feliz navidad!

[@litojonny]

the y=mbx+b makes sense thanks

[@maryamhira3384]

Thanks a lot

[@zhaparovaaigul8301]

Thank you so much

[@anaskadurie5623]

Thanks bro 🙏🏼

[@leikeize4781]

I suck at paying attention to online school so i look these videos up. It’s 100% my fault tho for not getting the subject lol

[@crazynirbish146]

Thanks and appreciate your work ♥️🇳🇵

[@benjig7864]

Awesome tutor

[@kaizakiianz]

your math teaching is very nice, I can understand quickly 💕 oops my heart have a exponent

[@sultown4343]

Clever lol

[@eindus7269]

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

[@cyrisligason8737]

Thank you👍👍

[@totallycuterthanyou4]

It finally clicked. Thank you!

[@ranahijawi7099]

Thank you :)

[@Angela-jm6kn]

Thank youuu!!!

[@noahsibahi-jackson8757]

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)

[@oppadaiski69animewatcher47]

thank you and I love you

[@ehuffines5339]

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?

[@Master_Cumingham_Baragwanath]

your video's can teach better than my school

[@NickhaEla]

This dude is amazing

[@hanamohammed3112]

Watching here from 2020 !!❤❤❤

[@tobecreative5421]

Are you Muslim ?

[@johnbenedicttripulca6235]

thank you man

[@shafimohomed6843]

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

[@NOLAWAGAINSTIT]

outstanding instruction!

[@chikagi493]

thank you :)

[@leilahelin-pessoa1019]

WOW OMG THANK YOU

[@jay-ralbino3529]

You’re better than my teacher

[@saniajavedaslam1473]

Thank u so much 😍

[@lolita55ful]

what about radicals??

[@nicomanalang6729]

thankk youu veryy muchh

[@angelfejjanonuevo2641]

THIS CHANNEL>>>>>>>>>>>

[@perssymaps5895]

Now I'm inlove with ur voice

[@nihatdonmezov8354]

thank u so much

[@user-zb2xb7eh2e]

Appericiate it❤

[@mainehays235]

Wow thankyouu!

[@diyaayounes3397]

well done

[@fpt8819]

thx

[@tanelkagan]

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.

[@skrabfrab1161]

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

[@user-xw6gb3dy8t]

good job

[@DeViLTh0rn]

I bet u must very good in coding

[@adrianoshonoshonos3596]

Thank you sooo much!!!

[@nourelhoudabenyahia257]

THANKSSSS

[@vijayanjaneyanarayana5793]

thanks

[@yahyaawan8175]

Deserves a like

[@arkdevil1475]

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!

[@johannesuhepo7926]

What if I don't know the common difference?

[@sheme.goffason4709]

I'm always here🥰

[@kais5176]

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.

[@Sid369]

Bro may God bless you for saving my A$$

[@atyahoodotcome1846]

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

[@TheSnowyOwl-zg2ck]

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.

[@nicatrench]

THANK YOUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUU

[@usmanqamar2639]

exam tomorrow?

[@nicatrench]

Usman Qamar not really, I just learned a technique with the use of the formula, my teacher taught us in a diff way

[@migyhiaibasan4588]

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

[@eatsheet7087]

what n-1?

[@eatsheet7087]

oh the formula is an=a1+(n-1)d

[@heythereprettybrowneyes4225]

ily

[@nlaveti]

TO GOOD

[@shimwalug2202]

You making it look hard and it it hard

[@nathaliaswess2902]

Ok got it