When given two terms find the nth term of an arithmetic sequence

👉 Learn how to find the nth term of an arithmetic sequence. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence. An arithmetic sequence is a sequence in which each term of the sequence is obtained by adding a predetermined value, called the common difference, to the preceding term.
The formula for the nth term of an arithmetic sequence is given by An = a + (n - 1)d, where a is the first term, n is the term number and d is the common difference. We can obtain the common difference by subtracting a term from the succeeding term or if the known terms are not consecutive, we can obtain the common difference by dividing the difference of the two terms by the difference of their term numbers. Plugging the required values into the formula, we can obtain the required nth term of the arithmetic sequence.
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Organized Videos:
✅ Sequences
• Sequences
✅Sequences | Learn About
• Sequences | Learn About
✅Determine The First Five Terms of The Arithmetic Sequence
• Determine The First Fi...
✅How to Write The Formula for a Arithmetic Sequence
• How to Write The Formu...
✅Find the nth Term of an Arithmetic Sequence
• Find the nth Term of a...
✅Find the First Five Terms of a Geometric Sequence
• Find the First Five Te...
✅How to Write The Formula for a Geometric Sequence
• How to Write The Formu...
✅Find the nth Term of a Geometric Sequence
• Find the nth Term of a...
✅How to Determine Arithmetic or Geometric Sequence
• How to Determine Arith...
✅Find the First Five Terms of a Sequence
• Find the First Five Te...
✅How to Write The Formula for a Sequence
• How to Write The Formu...
✅Find the nth Term of a Sequence
• Find the nth Term of a...
✅How to Simplify Factorials
• How to Simplify Factor...
✅Recursive Sequences
• Recursive Sequences
✅Prove the Sum by Induction
• Prove the Sum by Induc...
✅Find the Given Term of Binomial Expansion
• Find the Given Term of...
✅Binomial Expansion | Learn About
• Binomial Expansion | L...
✅How to Expand a Binomial
• How to Expand a Binomial
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#sequences #brianmclogan

[@Mike_4637]

Who’s using this to help you on the quiz your taking from home because COVID-19?

[@naomidi4076]

am i the only one who noticed the "duh hello" written on top of the white board? haha lol

[@brianmclogan]

my students had fund with that

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Nope I noticed it from the first

[@the_extraordinary_person]

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lol same hahaha

[@biggunz0138]

XD

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wow this is actually quite easy, I swear everytime a new topic comes up it looks hard thanks alot! from 2020 :))

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Thank you so much you are actually carrying my grade.

[@TEJOIS2COOL4U]

I freaking love this guy, extremely helpful

[@brianmclogan]

+TEJOIS2COOL4U : ) happy to help

[@mphomothobi3921]

Thank you very much for this video. I'm writing a maths test today and I believe I'm ready all thanks to this video.

[@Favorites135]

thank you SO MUCH! I'm currently taking pre-calculus in college and every.single.time my professor teaches us something she makes it super hard and complicated. and I swear if it wasn't for your videos my B would definitely be a WF lol. Thank you so much man! I appreciate it

[@brianmclogan]

Maya Angelou you are very very welcome! happy to be able to help you out and keep that grade up!

[@Drewvs]

I’m in 8th grade learning this

[@natmsanchez]

you’re doing this in college ??! i’m in 8th grade advanced math and i’m doing this lmao 😂

[@TheStanley_Show]

@@natmsanchez so

[@rubeaedo1173]

@@natmsanchez ​ Natalie Sanchez you do realize in college it's a lot harder. Maya probably needed a reminder on how to do the basics again so that they'll be able to continue the harder part of it.

[@eddiehan1475]

What school does this man teach at I must attend it

[@vaishnavisawant9224]

Sir,Your teaching method is so simple It's kinda so easy to understand .

[@jasoncampollo517]

we're learning this in algebra 2b but i have a question... what if the problem states "find the specified term of each arithmetic sequence" and the problem is t of 7 = - 19, t of 10 = -28; t of 21 i really need help and i have a test tomorrow and i need an A to raise my grade up really badly!! please reply!!

[@lazytacos4489]

Your video was helpful to me thnx lot now I can master this nth term stuff.

[@graceblocher7259]

Thank you for helping me, I just stared using your videos to help me understand the math course work better, i go to wava an online school but the course work is really confusing and you make it so much more simple for my brain to understand

[@ralobalo]

Best algebra teacher in the world please be my teacher

[@boujeebabe6206]

I swear every time I think all hope is lost I find this man’s videos and I’m literally saved

[@brianmclogan]

😍😍😍

[@evamcaslop4770]

Hey Brian!! I love your videos and the way you teach! Don’t ever stop making videos ❤️ i would like if you could make a video finding the a1 term, and solving for a1!!! Thank you

[@brianmclogan]

appreciate it, will do

[@MohamedHassan-mz8cj]

The sum of the first and 4 term of AP is 10 and the sum of the third and 6 term of AP is 18 find A) first term. B) common difference Calculate me this question

[@Metallic88]

Honestly You are the best teacher in the world coz I've watched all your teaching videos and I really appreciate your teaching and I wish to be one of student too... Keep it up 💕🙏

[@EMANUEL13961]

I always follow you whenever i want solution in mathematics. I like the. Way you do solutions

[@markihastings1158]

LITERALLY SO HELPFUL so I have to take algebra one at a high school (and I'm in seventh grade) and they go so fast- this helped a lot

[@joebamba730]

Algebra 1*

[@mono7252]

Ikr, my math teacher just changed to so this helped alot

[@bradchavisjr.9783]

I would write out a graph to find the 80th term but I never knew there was an formula to find the nth term. Thanks so much , I will use this on my quiz tomorrow!

[@brianmclogan]

you are very welcome! best of luck

[@ashkankazemi8464]

Thanks,I enjoyed it. very nice teaching

[@kathleenpabia8]

Your videos have helped me a lot! Thank you sir

[@jobilatin8380]

OMG thank u so much!! Even though my problem is not in your example but it gave the insight to my solution.

[@samamohamed1457]

Ok and if I am asked to give them the formula

[@BeyondBreakthroughs]

your far better teacher than my teacher is, i wish i could attend your class

[@markandriedigman9732]

You help me finish my homework thanks a lot❤️

[@DelScully]

so if I have for example 15 and 16 but am looking for the 5th? How would I do that?

[@jessicalimbaga9676]

Can i ask? Sir brian? How to find the nth term of geometric sequence whose initial term A1 and common ratio R are given? I dont know the formula can you help me sir?

[@maximumoccupancy]

How would you do it if it was a1 X (n-1)d?

[@lehlah]

You make math understandable. I finally get it. Thanks!

[@brianmclogan]

you are very welcome! happy to be able to help you out!

[@mileshoyos7803]

You are a help again. Thank you so much man keep doing your thing

[@tomtnc6300]

How do I work out the sequence n(n+1)

[@nicholasbogaert-lee1951]

This guy is probably one of the most popular math teachers right now

[@brianmclogan]

Happy to do my part

[@kkarinaak_vv4140]

Thank you you saved my grade 🙏🏼🙏🏼

[@brianmclogan]

just happy to be able to help

[@lindseym.t9676]

What if I’m given a sequence (-11,-16,-21,...) and I know that d=-5? I need to find the next two terms and I’m so confused

[@migzzkid8032]

explains 100% better than my teacher

[@manmeh4r]

can i have help what does "a of n2 mean or "a of 10" mean. it's like a big letter with a smaller one on the bottom of it

[@SR-fs5zy]

Thanks really helpful

[@isabellavelasquez13828]

Hi Sir. Thank youuu so much! From 2020 haha. God bless!

[@nikolaizaicev9297]

Well explained, thank you, that helped me to understand the topic better.

[@izakrizia]

always helpful! thank you :)

[@Uzma1110]

Once again you were of great help, thank you :)

[@fueledbymusic8618]

what if the second differences is not constant like 3,10,21,36

[@sachikotabia9130]

How I wish you're my college math professor 😧

[@SheLearnsChannel]

Not the best but better than my teacher

[@eugenechoi4988]

I lab you yieeeeee exam is coming up dis lesson is very helpfulll

[@slushymix-1955]

That was easier than I thought it was. Well, mostly because of my 8th grade teacher. Thanks

[@brianmclogan]

Way to go!

[@ammanuelh3413]

plz help me I still dont get it

[@ammanuelh3413]

also you look like randy orton

[@warsanmahamud6482]

@@ammanuelh3413 I hate math so soooooo much

[@seongsik]

it's been 5 years since most of these were made, but these are the only videos helping me pass.

[@brianmclogan]

awesome, hope I can get back to making more of them

[@ianburgard2342]

You the goat for all these vids

[@taslimsiddique1584]

Thank you sir

[@zuraaishi3791]

Where did he get the (n-1)?

[@angelzaldivar4225]

Thank you so much😍

[@jamerzzz4390]

Great help, thankyou

[@brianmclogan]

you are very welcome!

[@agentricardomilosgivemethe5284]

Someone help me please 15,18,21 what is the nth term for this?

[@Rav3nGaming]

if only my teacher didn't take this and then spend the weekend finding ways to make it way more difficult than the curriculum stuff in the textbook. You should do a series of these for the unfortunate people who are saddled with a really tough teacher, with way more difficult questions.

[@brianmclogan]

sorry you had such a hard time, but happy to help!

[@FunnyVideos-cp4of]

@@brianmclogan can you please answer this an=12-3n🙏

[@katnisseverdeen4865]

Hi sir Brian thank you so much for uploading this video of yours it helped me a lot with my assignment instead of adding it with it’s difference then enter enter from the moment you reached what sequence it is I already subscribed 😍

[@brianmclogan]

Awesome Katniss Happy to be able to help you out

[@alyssaa3279]

thank you so much.You're such a big help ❤❤❤

[@brianmclogan]

you are very welcome Alyssa!

[@juliuschua8613]

Im trying to figure it out on my own and got stuck for 2 hours thank youu very much

[@yasameenm6806]

i live in london and im finding this so useful thanks

[@yolilli]

What about when there is no common difference? My problem says 1/5,6,1/7,8,1/9... find the nth term... ???

[@LewisAM]

You are soo smart ( no sarcasm ) this helped a lot thanks

[@jnchannel7331]

Can someone answer this? Find the 42nd term of the sequence 5,10,15... ( arithmetic sequence )

[@Almightyy_dibba]

Thanks

[@zandrewmorano10]

This is the method our teacher teach to us. From 6th grade.

[@brianmclogan]

awesome, great teacher

[@admiralmudkip9836]

holy shit he just explained this in 2 seconds better than my teacher ever did

[@monikat7902]

I love the cheer teams written in the board😂😂👏🏽

[@rileykosterman1118]

Is it just me or like, how do I find out the difference?

[@bravek9881]

Thank you very much it really helped..but what if the Q says: Find the 1st five terms of the sequence when a0=1 and a1=1 And an=n.an-1+n^2.an-2 I would be so glad if you give me any idea about it..thank you again

[@brianmclogan]

sorry I just able to focus on my current classes

[@the_extraordinary_person]

Can we replace the value of 'n' in any number, say 5n+11 ?? Which means 3rd term = 5(2)+11 =10+11 = 21 Plz lemme know if I'm right...thnx🙂

[@jonasmauldin2791]

What grade are you teaching

[@tasafbari6951]

Our teacher took almost an hour just to explain the same thing and still most of us didn't understand... and this is not even a 5 min video and I learned it in one shot.

[@brianmclogan]

awesome! happy to be able to help you out!

[@sabijo4208]

I am learning this for the very first time, is the value of d the difference between each term?

[@brianmclogan]

yes

[@abcdelijah5127]

Where did you find a7 term???:((

[@aamnaqazi4845]

it actually did pretty help me I suppose so thanks

[@brianmclogan]

+Aamna Qazi happy to help

[@raynali2054]

Is an=a1+(n-1)d equation for all arithmetic sequences? Please tell ASAP

[@brianmclogan]

yes

[@raynali2054]

Thanks

[@jomm.-.6049]

Um...how can I find x and y in this sequence: x-y, 7x-y-1, -5y? My brain don’t know what to dooooo

[@limit13ss]

How would you do it if I'm not given the 1st term?

[@shreekarki1771]

help me too :(((

[@eyezodiotic3197]

okay, so umm...I have this problem.. "Determine whether 447 is a term of each sequence" I'm just wondering how can I know that 447 is a term of that specific sequence? Thank you in advance :"))

[@brianmclogan]

not sure what the sequences are but unable to work on extra problems as I currently am still teaching at my school

[@eyezodiotic3197]

I see, thank you though! :")

[@quack9863]

what if a_1 is not given

[@jayceinfinitealgharhythmns9814]

I wish someone else (Patrick JMT, Professor Leonard, Krista King) was doing this... I hate using this guy's site... always skipping steps! Can anyone recommend someone else I haven't found? Please!!!

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☝️☝️☝️an upcoming tutor Check out mine

[@syskabarbello167]

thanks . helped a lot. hv u ever visited India??

[@brianmclogan]

you are very welcome! No I have not

[@auzgy7557]

I’m so lost like actually

[@rosemary5438]

Bro I'm trying to do Ixl on this and I cried because it's so confusing

[@Akbar-pn4zc]

thank you

[@brianmclogan]

you are very welcome!

[@Booli..]

Still helpful :)

[@25greengoblin]

will this work in reverse, so lets say a4=7 and a6=15, whats the first term?

[@brianmclogan]

25greengoblin yes

[@jrreikleviandaya3045]

so its just you subtract 1 to the thingy and you multiply it by the difference. ok now i get the formula.

[@markusgutteridge]

anyone else wish he was your math teacher

[@hypermangi8265]

Quick Maths!

[@brianmclogan]

yes

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ITS THE CHEER LOGOS FOR ME !!

[@raycr27]

thx

[@riccsan1884]

I wanna ask a question but you can't answer me

[@pranavsreelakam__1349]

Best

[@neelimasekhar]

Literally in 5th year learning this…

[@skeletonworld2876]

Jonny sir 😂🙌

[@user-uo2qc2lx3o]

he looks like Randy Orton from WWE. lmao, thanks for the vid! really helped alot.

[@brianmclogan]

you are very welcome!

[@kimf.lobiano8695]

Absolutely like randy orton 😂

[@jjdigidyvlogs8244]

Dude looks like he asks for extra mayonnaise and when he gets it get complains about not having enough

[@Rheda]

Wait what's the nth term even?

[@charitynacional5470]

1. In the sequence 2, 6, 10, …; find n if the nth term is 102. _________ 2. In the sequence 3, ͹ ͵, ͷ ͵, …; find n if the nth term is -27. _________ 3. Find the15th term of the sequence if ܽ8 = 5 and ܽʹͳ = -60 _________ 4. Find 5th term of the sequence if ܽͳͷ = 29 and ܽʹ͹ = 47 _________ 5. If aͳ ൌ െ Ͷ , aʹͷ ൌ െ ͳ00 , what is the value of aͳ00

[@sy-pe7fr]

how about this i really need to know haha 1. an=n(n+1) ---------------- 5