Find the first several terms of a sequence with given two terms

👉 Learn how to determine the first five terms 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 first five-term or the required terms 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

[@norskii4893]

Easiest thing to do is just take 42-26 and get 16. Then you do the a12-a8 which is a4. 16/4 = 4. Therefore d = 4 and then you just plug the d in for the equation to find the a1 or whatever you need. This works for every single equation about finding the d.

[@andreluquin7006]

Thanks bro!

[@ivylalka6140]

It doesn’t work with mine

[@ivylalka6140]

A1= 145. A5= 113 145-113= 32 5-1=4 32/4= 8 The answer is supposed to be 5

[@danieloppenheimer6243]

@@ivylalka6140 I think that your problem didn't work for phantoms way of solving it because you were given the wrong answer. Because if you multiply 4 by 5 because A1 to A5 is 5 spots and you are supposed to subtract 1 so 4 times 5 ,which is the answer you said you were given, you get 20. And that doesn't make sense because 145-20=125 not 113 also by subtracting 5 from 145 you can never get 113, no matter how many times you subtract it. In conclusion, you were given the wrong solution. Ps: I am only writing this to study for a test I have, and this is practice for me

[@lmjohnston9596]

Wow your comment made it so much easier. Thanks I couldn't understand the video. 😅

[@ebickachow9078]

This man explained more in 4 minutes than my teacher did in two weeks

[@benjaminfroese3465]

facts why are is my teacher so bad at explaining math

[@moshimoshi9081]

lmao HAHAHAHAHAH

[@zasunoyz6598]

Lmaoo

[@omegadragon432]

Because Brian doesn't have dumb students.

[@harrykt5442]

@@omegadragon432 nailed it

[@brianmclogan]

thanks!

[@liacaia1621]

Is there a formula to get the 'a sub 1' without having to minus it all backwards? I have a problem and the "d" is already given, but there is no first term.. I'm a grade 10 junior highschool student

[@Eli-oi4ug]

@@liacaia1621 thats the only way lolol

[@liacaia1621]

@@Eli-oi4ug Huhu Thank You!

[@ashleysnow7338]

Why do I learn more from this guy than at my school?

[@sparklingsummer8733]

Omg this video is 7 years ago but still helps us. Thank you so much❤️😭

[@vdeaddd]

bro i had the hardest time trying to figure this out. My tutor did not know how to do this. In 4 minutes this guy made me completely grasp and learn the concept. I don't usually write comments but shit this guy deserves one.

[@HadiAsh]

LITERALLY ASKED MY TEACHER THIS AND GAVE ME A 20 min explanation that I still didn’t understand NOW I JUSE WATCHER THIS 4 minute video now I know🤦🏼‍♂️

[@johnmichaelgalapin4849]

How did he get 5 as n again?

[@user-xj3yh6fb1i]

@@johnmichaelgalapin4849 That keeps me wondering too

[@user-xj3yh6fb1i]

He said he count from 8-12

[@maxisfine1367]

This whole time I thought I was just too dumb for precal, turns out it was just the way my teacher was explaining it, thanks man it helped me a lot. :)

[@xoxo_ang]

before replacing n with 4, I understand that you did 5-1. But from 8 - 12, isn't that 4? so shouldn't it be 4-1=3? or are you including the 8 when counting? Any help would be greatly appreciated. Thank you!

[@milena3051]

Yea I’m also confused about that?

[@nayumi_eloiza1242]

i'll just say. He is the very first person i look up when i need help. thank you for your short meaningful and understandable videos Sir!

[@cesarpalomares3630]

Thank you so much!! Your honestly the best teacher. My teacher just straight up gives us the formula and makes us figure out the problem by ourselves. Thank you so much 🙏🙏 you saved me from flunking my algebra exam 🙏

[@manal1699996]

this extremely helpful, you saved my life! thank you..

[@brianmclogan]

+zoz ahmed you are very welcome! happy to help

[@spongebobbutindian9255]

This vid just made finding the common difference so easy! It is much simpler to understand than what my math teacher is saying. Thanks a lot!!

[@xr1383]

😤👏👏Explained this better than my math teacher

[@georgesalibongcogon815]

how did he get 4d pls answer

[@jhosmeilyhernandez3131]

been watching you for the longest!! it only took u 1:45sec to answer my question. Thank you!!!!

[@reyn_arts7641]

This really saved my day because our teacher doesn't explain this well and this teacher just made me understand just in 5 minutes. Thank you and I subscribed to your channel.

[@Louisabeastfr]

Your lessons help me so much and make math easier for me. Thank you so so much.

[@adidasthottie]

i love this guy. thank you so much, Mr. McLogan.

[@marckennethdelacruz6758]

Thankyou

[@kylemthayer]

I can always count on you Brian to teach me something that's on my homework but not in the notes. you would think my teacher that actually gets paid to teach me would actually have a problem or even a formula in the notes but nah that's too much work.

[@itshasim_21]

Why do we need to know this in our lives? 🙄

[@Lennyst]

Well you will need this if we have kids and you might need to help them when they get the same homework with useless information that we did as a kid. But other then that I can't think of another reason.

[@et3rnal163]

@@Lennyst LMAOOOOOOO

[@johnnymoto4277]

Reading this comment while making my assignment

[@lemondrop8203]

Many engineer careers need this type of math in their job. Same as many other jobs

[@aadyshrestha7756]

Thank u 🙏 lord! For this video just saved my math grade.

[@natalievierneza9359]

He discuss very well within 4mins He's Great thank you for helping us❤️

[@mercyvalentine8151]

im still confused on why n is 5

[@kudasai2371]

Yeaah

[@einaflores900]

If you count from 8 to 12 which is the given in A it should be 5 but then n-1 so it will be 4

[@kudasai2371]

@@einaflores900 thx❣️

[@HAMclint]

Thank youuuuu @EinaFlores

[@JORENSKI]

@@einaflores900 omg thank you

[@adamhegazi5706]

you actually helped me understand when everybody couldn't, thank you!!!!

[@brianmclogan]

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

[@unidodie2366]

This video can save lives better than doctors.

[@karlmartinrosete8597]

Thanks for this video sir, its really helpful bcuz I don't want to do it and tomorrow will be my exam so thank you very much.

[@natalievillalobos941]

sorry to interrupt the class but may I use the restroom ?

[@ahliaflower7551]

Thank you so much ☺❤ I realllly needed it at all.. very useful ❤❤❤❤❤✌✔

[@angelablase3136]

BEST MATH TEACHER EVER MWUUAHHH!

[@ryvncrz]

Ginagawamue

[@TheImportCars]

What a great teacher!

[@brianmclogan]

thanks I appreciate it!

[@german9167]

gracias profe, hiciste lo que tres meses de clase no hicieron

[@aidanwilkiewicz7109]

This helped so much thanks

[@MichaelFord147611]

Thanks for the help. Couldn't find this anywhere else on KZbin.

[@brianmclogan]

happy to help you out

[@jocelyne_014]

wow thank u for posting this vid 10 years ago my teacher taught this today and i was not listening so u a real one for that 😎🤯🤯😵

[@nevergonnagiveyouup7267]

Wow this guy explained it better than the ones in my language

[@misspigglet]

This has helped me alot. Thanks Teacher💥😊

[@brianmclogan]

You are very welcome

[@yuae5078]

Why would the n be 5? Sorry for the late comment im just having a pretty hard time trying to understand this

[@vanellopevonschweetz6099]

8, 9, 10, 11, 12

[@kal.amansi1825]

I love this guy so much omg

[@edadederson6516]

what if the given is a894 and a1009? how do i find a1 without having a manual subtracting?

[@Godakuri]

That's what I need to know also. Do you have a way?

[@princessrubyaniceto943]

i do have a way

[@Godakuri]

How do I find a of 1 extremely fast, I'm taking the act and I dont have time to subtract (d) from every single term

[@asherrobinson5586]

I just subbed in the numbers into the formula so d=4 and then I used the 8th term so An=26 and n=8 and just completed the equation. Idk if that helps I am bad at explaining. P.S I know this is pretty late but thought I’d chime in

[@mikomikoo3307]

I wanna know how to fins the a1 if the S is given

[@boom350ph]

Thank u good sir I forgot how to do this and I wish this was this easy to understand

[@JLRaph_67]

Thank you so much!

[@imperialprime7991]

dude you saved my life thanks!

[@jessicamoreno8815]

thank you so much

[@fatimahassan7367]

why is n five??

[@grandkid808]

How did you find n I don't understand

[@donpatrisyo5624]

Why is N = 5?

[@chya4741]

Thank you sir!!!!!💖

[@ABMMonzalesGraceAnne]

Where does 5 came from? I mean the n ???

[@carsonlecky1254]

You are the best

[@hashimoto_7982]

Thanks you so much 🙏

[@dykpop5493]

Waaw!! I just finish my homework!

[@MrFarai489]

Thank you So Much🙏🏽🙏🏽🙏🏽

[@user-lk9it7kr3e]

How did you know n is 5???

[@estellevidal1415]

But what if you are only provided with 1 term, what do you do then?

[@itsdarilynf2318]

can i ask question? can you please explain to me this one (8th term is 75 ; 20th term is 29)

[@itsdarilynf2318]

what is the common difference and the a1?

[@M10rtega]

@@itsdarilynf2318 common difference is -23/6 lol and a1 would be 611/6

[@Adriana-no4iy]

Will this work for a geometric sequence as well?

[@brianmclogan]

yes but you have to use the formula for a geometric sequence

[@qamarz125]

Great tutorial

[@0uo258]

Awesome i just perfected my spelling bee thank u sir love u :)

[@0uo258]

Sorry for the joke but u really helped me at my exams sir

[@brianmclogan]

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

[@ammanuelh3413]

But who is Kurt

[@taylorkif]

this really helps thank youuu

[@johnmichaeldelacruz2632]

Can i ask? what if you have a6=10 and a21=55 what is nth term ?

[@brianmclogan]

Same process

[@migs6674]

Thank you!!!

[@tntvhd2424]

You absolute legend saved my GCSE’s

[@unknown-zc1cf]

THANK U SO MUCH

[@patrictinashe5674]

Hi there sir. Is is possible to work out 3 terms of arithmetic sequence given only 1 term and the sum of the first 12 terms.

[@asharibimran5645]

why n is 5, plz explain it? time 2:40

[@brianmclogan]

42-26= 16, they are 4 terms apart so 16/4 is 4.

[@asharibimran5645]

thsnk you so much

[@chumontesclaros891]

How did he subtract 26 instantly? My guess is he is transposing 26 but idk Im dumb af. Pls help 😵😰

[@ericaywho]

i guess 42 - 26 = 16

[@iwantjareddudley7043]

Do you how to to find a1,d, and an using two terms?

[@theejaytagama2357]

Thank you bro

[@yeetmcyeehaw2239]

I was on the verge of exploding, because my Math module didn't explain how to solve for stuff like this, THANK YOU

[@Julie-dj9dt]

Salamat po

[@BLue-wr4mb]

Thank you so much. This SAVE me ♥

[@brianmclogan]

you are very welcome!

[@ishveersingh6562]

I would die to get him to be my teacher

[@maseawakev.1119]

I don’t understand how to find (. A 1 .) without re-subtracting.

[@maseawakev.1119]

Would’nt it be wrong?

[@loicst-denis4201]

great content thanks!!

[@user-qx8je5hz2m]

THANK YOU SIRR

[@alyabatrisyia3468]

I'm facing difficult question now. if sum of the first seven term is given and 4th term is double the 2th term. Find the common difference and first term

[@sarahcurtis1272]

you're amazing thank you so much

[@brianmclogan]

you are very welcome!

[@masterno8576]

Thank you so much i knew there was another easier way to solve this what a stupid method we have in the book

[@brianmclogan]

Happy to help

[@fayer6700]

Mind blown🤯🤯🤯🤯

[@mbalithomo3980]

You ate this

[@k1ko.]

why did you pick 5 in the n???

[@marasigancharlesjuveng.7870]

how to get the d if the given is sn, n and a1

[@Phantysm]

How do I find the arithmetic mean beetween my a3 and a5 it is so hard

[@nischithbr8562]

Sir how did you write that n= 5

[@Qwami-cq1zr]

if u_n=23 and U_2n=13 and U_6 = 9 of AP find a and d

[@kudasai2371]

How do you get the 5

[@mylomlwonnie]

Yoo so im tryna solve my equation here and look what I got: a4=41, a15=116. So I followed the steps . 116=41+11d, 116-41=75, 75/11=11d/11, =6.8. But the correct answer is 5, I genuinely don't get it.

[@hasnaynraza2030]

THANK UUUUUUUU

[@lulu-tl1wv]

Where dide get the 16?

[@migs6674]

Transposed 26 to the other side of the equal sign

[@felixthecat9594]

How do you find a1 without subtracting the difference over and over again

[@brianmclogan]

Need to know the type geometric problem arithmetic

[@krisipisip4103]

can someone help me 🥺 so i have to find a1 and d and i have a4=8 and a10-a6=6 how to solve the problem?

[@SuKoOn_GuY26]

How you get 4 there

[@simonho413]

My teacher taught me the geometric sequence version of this.

[@bronxnosenshi]

good video but zac better pay attention next time

[@ap0750]

I don't understand how you got 5 for N, helpful video though

[@brianmclogan]

what time in the video are you referring to?

[@kudasai2371]

@@brianmclogan in 2:41 sir I don't understand how you got the 5 to (n-1)

[@ayog638]

@@kudasai2371 i think he miscounted it it should've been 4-1 = 3