Linear Sequences (nth term)

[@CiaranDev]

Quick tip for anyone reading this: Once you have found the coefficient that goes in front of the n and you need to find the second number all you have to do is get the coefficient say it was 5 and take it away from the first number in the sequence. For example: 6, 11, 16, 21, 26 We can see that this is a linear sequence as the numbers are being increased at a constant rate of +5. This means the the first part too our nth term is 5n. To find the second part all you have to do is take away 5n from the first number in the sequence. In this case it would be: 6-5 = +1 So... the nth term is 5n+1

[@rggames1141]

Thanks that was soooo helpful

[@tomunderwood6882]

thankyou, this helped

[@Dyl50n]

ty

[@muzzamalahmed9188]

Tyvm

[@PlasJL]

Thank you man

[@ShawnVerne]

Finally! Someone who could actually explain this simply and practically. THANK YOU

[@user-wn3pk3df4e]

you made that so easy...btw 5×13+1=66

[@convolarmy6659]

Superb gays

[@rujeshgurung6376]

Eugene Ignacio true

[@rujeshgurung6376]

CONVOL ARMY nani

[@greymanjeff7797]

I was gonna say that :(

[@headshooter186]

hello there

[@arjunagarwal6710]

Sir i am watching this in 2020 and you explained everything in just 20 minutes , thank you sir

[@mahamakkmahamakk2839]

0

[@crazygamerxtreme1610]

Thanks man......... Its 2018 and its still useful...... u just saved me from a nightmare test I habe to give👍👍

[@NotCrim]

Ty 4 your help I'm doing a test next week and I know I am gonna pass because of you I can't thank you enough

[@crazy4kills516]

I’ve been struggling with this for ages thanks so much!!

[@jahiemdaley2442]

I

[@taysirabdi9354]

me too

[@grandadjim4204]

you explaied this better than my lecturer, thanks alot.

[@jordanh550]

5x13+1 is 66

[@georgehenna]

He then created a black bubble explaing how it was a deliberate mistake...😀😀😀😃😄

[@dragonballlegends9570]

Is he nawmal

[@Umbooms]

Okay an I care why

[@mokanaranyradnam1918]

I am watching this now and as he said the equation I already got the answer when he says 61 i was like what i thought i was the only one spotted this lol

[@mr_xpartb0ssplayz794]

Lol

[@zeppelin2032]

It's not been long since I discovered your channel and I'm already having a greater understanding of the topics in the papers. Your videos are incredibly useful and detailed, your video on cumulative frequency was particularly useful. Long and detailed videos... I like it!

[@alaaadnan617]

It’s been 3 years since this comment

[@poopplayseverything8628]

@@alaaadnan6175

[@saveas222]

@@alaaadnan617 5

[@HEGARTYMATHS]

Thanks Jordan! Good spot. Ive put an annotation on it now. Too many videos being made very late at night!!

[@miraruzgar4371]

LOL

[@cristianangeles627]

Thank you. I had a hard time trying to find out what's the nth,but the rest I got it nevertheless you had made my life easier. Over exaggeration...yes.

[@fazzo4147]

"Deliberate mistake" lol ok

[@samiyahosman1750]

HEGARTYMATHS thanks u soo much

[@leezs4529]

Thx bro helped me a lot

[@iamthebest1602]

WOW! amazing videos I feel like i have a tutor speaking to me, answering all my questions before i can even ask them because you were that precise when explaining key points. I must take the time to really thank you for your commitment to our education, because without you i would not even have a chance of doing well on maths P.S THANX AGAIN...

[@sudipadhikari8729]

This is the most tedious way to perform nth term calculations. Just do the following and it'll work on all of the examples shown in this video. 1st term +(nth position-1)× difference between two numbers. Note : It only applies if the difference between two numbers is constant.

[@darks.6211]

I forgot this in yr 7. Thx for the good explanation

[@REIINARO]

thanks so much, I didn't know anything about nth term now I'm really good at it. THANKS, MAN!!!

[@amberbennett5749]

Sameeeeeeeeeee

[@clead4014]

Anyone watching this in 2019

[@randomguy6328]

SkillFrosts Hyper Omg ... I’m watching now

[@wahbiasha]

@@randomguy6328 yup 3 weeks later...

[@Umbooms]

Na I am watching in 1914 it’s the Great War

[@randomguy6328]

Lol

[@mr_xpartb0ssplayz794]

Me dude Lol

[@user-js8tj6qj1u]

Omg thank you so much the nth term was so hard to understand and you made it so much easier THANK YOUUUUU❤️❤️❤️❤️❤️❤️❤️

[@taysirabdi9354]

thank you i've never understood nth terms before you're the best!

[@shannonswaffer1449]

Thank you so much, my son has been struggling with this for homework, and this helped us both out a lot! Thanks!

[@mohammedkhan5264]

Thanks I needed this for my test

[@aaraadhanaamanonprakash6972]

Thank you so much I was suffering a lot to learn this but u made it so easy like anything

[@trinidemships]

Thank you so much for this! This legit comes up on every single mock paper and I've never known how to do it until now! Thank you, it is so easy tbh. I'm hoping it will appear on my GCSE paper next month lol

[@diyapatel-264]

This video was soooooo useful!!! You explained it perfectly and way better than my teacher! I got it straight away thanks to you!!

[@namjoons_lost_airpods2299]

I need to do this but I missed my call so I looked back on the recording and the thing was frozen and I could only hear the teacher’s voice so I was really stuck😭😢. This helped me a lot

[@antoninomineo8644]

A brilliant explanation. However, what if we are not given the numbers for instance? Ex. A sequence increase by 5 each time. The first term is x. Write down an expression for x. Answer...................... The sum of the first four terms is 54. Set up an equation to work out the value of x.

[@shujakhan2039]

x + (x+5) + (x+10)+(x+15)=54

[@shujakhan2039]

x=6

[@tomunderwood6882]

my maths teacher < hegarty maths, this channel is ELITE

[@semen3367]

pov: youre sitting in the hall waiting for you to take a test on linear sequances when youve never done one.

[@paariztd8878]

Thanks a ton once again. First time in my whole life I could able to understand it. You have truly prover your mastery. 💜

[@ilgaz4607]

The 13th term for 5n+1 is not 61 it's 66

[@harrypck8609]

Why did you flip the nth term to 10-2n in the example?

[@michaelhabtegiorgis8245]

Thank You so much. If you are looking at this comment it actually helps. and Fun Fact He recorded this 2 days after my Birthday

[@tushtitiwari3213]

This video really helped me. Thanks.

[@akpopseagull6011]

Starts at 1:29

[@mirabelodigie1117]

You saved my life I am in year 7 and tomorrow I have my maths exam #lovethischannel

[@mirabelodigie1117]

@Dearise I mistook I am in year 8

[@evzi5660]

I’m currently in uni. I haven’t done maths in years. Don’t ask why I’m watching this video at 4 am on a random night (I had a lot of fun)

[@factico196]

Really good explaining thanks sooooo much

[@lukabiancardi835]

For the second past paper question, I answered why Jean was incorrect because the number is always odd, would that be correct?

[@alaaadnan617]

It’s been 5 years since this comment

[@madisonappleton3008]

Anyone watching this is 2020 i have been stuggling on this for 3 years haha now i think i am getting the hang of it thank you

[@NoodleMilk]

Thank you you just saved my from getting an online detention 😅

[@AAM.76]

Coronavirus

[@iffy.2155]

online det wth??!

[@AAM.76]

Coronavirus

[@zacdawson6881]

How do you get an online detention?

[@iffy.2155]

@@zacdawson6881 INNIT

[@lynnc5302]

5n+1.... If n is 13, shouldn't 5n+1 come to 66?

[@danielkosznirczuk9703]

Hello, I've this question: A sequence starts 9, 20, 37... . Its nth term = en^2 + fn + g, where e, f, g are constants. Find the values of e, f, and g. I've done some work and got to the point where I got simultaneous equation with 3 values, but can't seem to find an answer. Or is it a mistake in text book? I got.... e + fn + g = 9 2e + fn + g = 20 9e + fn + g = 37 Please help me I can't do this.

[@g.oneill6663]

my teacher takes 4 lesson s to explain something and most of my class still don't know it but this guy teaches this to in 20 minutes

[@jamez3457]

This was more helpful than mathswatch (something that my school has to pay for!)

[@mollygrace184]

Thankyou soo much you really helped me

[@alial-kuwari3079]

4:39 it equals to 66 not 61

[@gta5subhaan806]

YES

[@hariduwiki8046]

no you wrong

[@alial-kuwari3079]

@@hariduwiki8046 check again!

[@noorishaukat171]

The nth term can also be found out this way: Lets suppose 'a' is the first number in the sequence and 'd' is the difference between the numbers n=a+d(n-1) n=a+dn-d substitute the values and get your formula

[@rostam40]

Noori Shaukat whats n-1 though ??? Cause we dont know what n is

[@aggyz2198]

bruce wayne N = number as considered in dis vid

[@Alia-ng4kp]

I have a question, someone please help me. I have the question n(n-1) how do I work this out?

[@HamzaSami90]

I have been studying been studying 5 hours int his lesson searching for good explain and finally I understand this lesson. thank you very for the video and also in the simple way of explaining.

[@madihatasnim6971]

i spend one hour on a maths lesson in school where nothing enters me head.... i come home to youtube to watch a 20 minute video which is so helpful btw

[@brindsleywright5399]

Line 4, 5x13+1 = 66. How do you make it 61?

[@Reem.m19]

I spotted the same mistake , he really should clarify the mistake in the comments , it might confuse people !

[@anandparas]

very useful. you made it so easy for me thx

[@onikatanyamarajpetty9761]

Your voice is very relaxing

[@oliviatomato3512]

ahah yeah his voice is

[@tsakaniboitumelo6355]

5 ×13 + 1 is not 61 it is 66

[@danhutton8249]

On my test there was a 2x1 cubeboid, a 3x2, a 4x3 a 5x4 ( the first number is how many cubes up, and the second one was how many across) what would the nth term have been?

[@hamsnub]

ive got a maths test coming up and its on algebra and i really needed help with this. Tysm for this video it helps alot :D

[@ryanknight1804]

Suppose I have -1,3,7,11,12, ..... What is the nth term? Someone help plz

[@gamingwithbob8441]

4n-1 the answer

[@8timayo]

What does subtracting off both sides mean

[@firishta_qtiktokig7951]

thanks a lot very helpful video and you're one of the best maths teacher in uk.

[@leosinden7582]

Thanks this helped a lot

[@user-xg6xy3vs1w]

I like the way you explain ❤

[@troll-ck1wo]

Thanks for this it helped me understand so much more

[@wahbiasha]

oh yeah yeah

[@dulclills]

so would 2, 5, 8, 11, 14 be 59?

[@Orofino1]

When finding the formula for the negative sequence, do you have to swap the -2n, and the +10 around?

[@javiertordable2821]

hello

[@XxscootskatextremexX]

i have an issue with your method to work out if a number is part of the sequence because of this question: is 150 a term in the sequence when the the expression for the nth term is 7n-4 150-4=146 146/7=20.85 but: 7x22=146 146+4=150 what is wrong with my calculator!??

[@shujakhan2039]

Mate . You should be aware of the BODMAS rule. Where you multiply before you add? In one of these cases you're subtracting before your dividing and in the other your adding before multiplying . Each case would give you a different answer. Stick to BODMAS

[@shujakhan2039]

+Shuja Khan *Multiplying before adding. So you're doing one right but your getting the first one wrong.

[@abz604]

could you say at 16:00 that all the numbers is a multiple of 3 and 58 is not.

[@mojoyinsutton9810]

THANKS THIS HELPED SO MUCH.

[@bushrakhawar5]

he said rectangles instead of triangles but I don't blame him it must be terrifying in front of 121,000+ people

[@amEditz.z]

dats a lie dude lso play fortnite rn 4uk sake ma8te

[@madihatasnim6971]

yeh behind the screen

[@DIAlavaud]

you should become a maths teacher, I've actually learned something from your video, you are very good at teaching

[@daviddraghici4158]

One of the most helpful channels out there, it helped me with my math homework!

[@user-ud9zm1sv8f]

Ty! I just came home from school and I was a little embarrassed in class bc I didn’t understand the hole thing but now I understand it 🥲

[@munaafkhan6127]

I love your channel bro

[@g4laxygaming843]

Really helpful man u so smart even my teacher makes this hard u make it so ez

[@syedabdullahraza2972]

Yay thnx sir was angry on me and challenged me if i get all the questions right i would get 5 extra marks THANNXXXXXX!!!!!!!!!!!

[@okshutup8058]

Hasan I’m in year 10 and still can’t do this

[@syedabdullahraza2972]

Ok Shut up lol

[@sandhyareddy5270]

Hey i have doubt in second example y u took 8n-6

[@samiyahosman1750]

This really helped me sooooo much xoxo

[@reginaruduvini5419]

this is so tremendous and clear

[@venomousleopard8287]

Found this so useful thank you

[@FrancisKaldunski]

Great video, helped me very much

[@purplepup7578]

Soooooooooooooooo helpful now I can do nth term😃😃😃😃😃😃😃😀😀😀😄😄😊😊🙂🙂☺️☺️😋😋😉😉

[@rannivvitch]

Your a better teacher than my one in school 😂😓

[@issamarida]

Sîan no one better than my one. His eyebrows demolish u

[@claudineee6071]

Great video helped me understand a lot 😁😁👍

[@hansseltene6937]

Thanks alot Mr Hegarty

[@AksamRafiz]

watching this 2 hours before exam

[@emilycarter7908]

thank you so much, i learnt the nth term a few years ago and forgot how to do it, this video helped me so much! :)

[@Yuszy]

thankyou very much for this!

[@nauts4752]

Thanks a lot!- subscribed

[@hopebroomesaunders1793]

Thank you, really helped for my upcoming exam

[@hibashah7982]

good lucj

[@hopebroomesaunders1793]

+Hiba Shah thanks x

[@hibashah7982]

+Hope Broome Saunders is your exam even over???

[@hopebroomesaunders1793]

+Hiba Shah that particular one is, yes

[@hibashah7982]

+Hope Broome Saunders oh! well how did it go?

[@jahhhsosa565]

Learning this in 9th grade thx for your help...

[@lfcforever412]

thanks for all the help I really struggle with maths and watching these videos have made me a lot better and u r amazing

[@hamnahali9137]

Helps with homework thanks

[@xsophiax1513]

These videos are saving me right now❤🙌🏽⭐️ really easy to follow -much better than my teacher

[@babua077]

Great work man great work

[@gpauthor]

Thank you so much! 👍

[@buddhamedia7306]

deliberate?...yeah...sure....

[@asiaa7587]

Buddha Media Ikr.

[@nitamac1312]

real true

[@alaaadnan617]

It’s been 5 years since this comment

[@areejaiman1491]

thanks brother it helped me a lot

[@zork1665]

Meaby i am stupid but i am sure that you have made a mistake: 5x13+1=61it is 5x13+1 =66 But i love your way of explanation thank you alot.

[@pedrogabrielmestrecobas5764]

Min 11:58 ... isn't -68+10= -58 ?

[@simonwatson9730]

Thanks for this tutorial. It really helped me understand this.

[@johnegemole2646]

Thanks,this really helped.

[@keychains7860]

I have a test on this tomorrow