Quadratic Sequences | Grade 7-9 Maths Series | GCSE Maths Tutor

A video revising the techniques and strategies for finding the nth term of quadratic sequences. (Higher Only).
This video is part of the Algebra module in GCSE maths, see my other videos below to continue with the series focussed on equations and sequences.
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Casio Fx-991ex Scientific Calculator Fx 991 Ex - New + 552 Function - Classwiz - amzn.to/2sw2Moz
These are the new revision guides I recommend 💡
Higher - New Grade 9-1 GCSE Maths Edexcel Student Book - Higher (with Online Edition) (CGP GCSE Maths 9-1 Revision) - amzn.to/366PltG
Foundation - New Grade 9-1 GCSE Maths Edexcel Student Book - Foundation (with Online Edition) (CGP GCSE Maths 9-1 Revision) - amzn.to/2PpbjBF
Revision videos:
The Entire GCSE in Only 2 Hours!! Higher and Foundation Revision | GCSE Maths Tutor - • Everything You Need To...
Everything for a Grade 6-9 in your GCSE Maths Exam! Higher Maths Exam Revision | GCSE Maths Tutor - • Everything for a Grade...
All The Topics You NEED To Know For The 9-1 Maths GCSE 2020 (Higher) - • All The Topics You NEE...
More videos in the Equations and Sequences series:
All of Algebra in just over 1 hour!!! - • All of Algebra in just...
Part 1 - Solving Equations - • Solving Linear Equatio...
Part 2 - Solving Equations with Unknowns both Sides - • Solving Linear Equatio...
Part 3 - Solving Equations with Fractions (Higher Only) -
Part 4 - Finding the nth Term of a Sequence - • Nth Term of Linear Seq...
Part 5 - Using nth Term Expressions - • Using Nth Terms and Se...
Part 6 - Fibonacci Type Sequences -
Part 7 - Quadratic Sequences (Higher Only) - • Quadratic Sequences | ...
Part 8 - Geometric Sequences (Higher Only) - • Geometric Progressions...
Part 9 - Simultaneous Equations - • Simultaneous Equations...
Part 10 - Quadratic Simultaneous Equations (Higher a only) -
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🔹 Review everything you have learnt
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[@TheGCSEMathsTutor]

Amendment to a question: At 10:37 the final number in the first sequence should be ‘39’ and not ‘49’ 🤦🏼‍♂️ whoops!

[@bilalhussain6417]

Your only human after all

[@TheGCSEMathsTutor]

Ha! Exactly! 🤣

[@bilalhussain6417]

but I would try not to make that mistake in test 😂

[@ajgmz]

I was like is this guy dumb how IS IT 12 WHEN 49-27= 22 I WAS CONFUSED but I take all that back now lol

[@something564y]

@@bilalhussain6417 a

[@a2lyy]

Teacher took an hour doing a lesson on this, you took around 10 mins and I learnt easier. Your'e an amazing person! 👊

[@TheGCSEMathsTutor]

Hyp3 Araven Amazing news thank you for the great feedback! So glad to hear it’s working for you 😁🙏🏼🙏🏼

[@ajgmz]

You dont understand how much people in this world relate to this. The teachers are jarring. I would learn better from putting a yt vid in class about the topic

[@binladen34444]

HHHHHmjHHHH

[@binladen34444]

HHHHHmjHHHH

[@sugarcrane7982]

its because at school, a teacher is teaching more than one student, which takes more time. and sometimes, us students arent in the mood to learn so we'd not listen. or its just too distracting at school with so many classmates. if you go ask your teacher to teach you alone, you'd understand it most probably. but honestly, this video is so good. explained in such a proper way

[@mochipennielee8866]

i love that satisfying feeling of finallly understanding a maths concept after watching a million youtube videos. thank you so much. i think i will do very well on GCSE maths with your help!

[@huh7708]

how did it go?

[@quinstarstar]

@@huh7708 good

[@venux2664]

How did urs go​@@huh7708

[@missyrandom493]

God made me find this wonderful tutorial of yours! I was stuggling with quadratic sequences and I've come up with a lot of videos but yours was the best 😉 Thank you and may God bless you 😊

[@TheGCSEMathsTutor]

Missy Random Incredible news! Hopefully you find the same progress within some of the other videos on the channel! Always great to hear 😁🙏🏼

[@missyrandom493]

@@TheGCSEMathsTutor same uwuuu, thank you so much 🥺❤️

[@lilacc_sunrise]

@@missyrandom493 uwu? Wth

[@coderecker-lr7io]

@@lilacc_sunrise ALLOW THEM THAT Was 3 years ago bare cringe ppl back in those days

[@nifemiomo5373]

I think there is a mistake at 10:54 as the difference between 49 and 27 is not 12 but 22

[@TheGCSEMathsTutor]

topballer12345 It should say 39 🤦🏼‍♂️

[@Awai_quotes]

Innit i was gonna sat the same but I'm one year late😂😂

[@rizztv4010]

@@Awai_quotes same

[@mrcheese1373]

@@rizztv4010 wagwan g

[@nuraalali880]

Me too I was confused 😹! But anyway you’re such perfect tutor for me actually you are number 1 in my list..

[@raheemakhmed3181]

Honestly the best teacher ever I have learnt so much of you this half term ready for paper 2 thank you very much 👊🏽

[@charlotteraffle4779]

I’ve got an exam with nth term of quadratic sequences in it. Thank you! It now makes so much sense :)

[@rahimorahimo3788]

This is insanely helpful I've learnt more from you in 10 minutes than I've learnt from teachers in 5 years!

[@TheGCSEMathsTutor]

Rahimo Rahimo Amazing news! So glad it’s worked for you 😁👌🏼👌🏼

[@rahimorahimo3788]

Thanks

[@imisiee]

Thank you!! STarting year 11 and starting to revise now and this helped a bunch!!!!

[@__mints__]

How does a maths tutor have the best quality KZbin intro I have ever seen?

[@kamrankabir8101]

my teacher took one hour to teach this and said that we were going to have to have another lesson on this. this video taught me more in less than 15 minutes

[@TheGCSEMathsTutor]

I’m so glad to hear I could help! 😁🙏🏼

[@sumaiyya5644]

Your videos are so straight forward thankyou so much for this it helped me alot

[@AJMartinovich]

at 10:12 why do you add one

[@shuttyskenzin9237]

Sir, I have a question. Can you please tell me how you would do 3, 7, 15? I tried using your method but it doesnt rly work out. maybe i did not use your method properly but can you please tell me how you would do it?

[@athenaenergyshine7616]

I love your videos you make maths makes so much sense.

[@3ly415]

Your videos are soo helpful, thank you so much !

[@TheGCSEMathsTutor]

So glad to hear it helped! 😁🙏🏼

[@ngoubenerolond3602]

Please what if the sequence is not having a fix common difference

[@b3akine]

sooo simply explained and i love the example approach!! thank you will definitely be checking out your other videos too :]

[@TheGCSEMathsTutor]

No problem at all! Glad to hear the channel is helping!

[@Twister00500]

Hi what do you mean exactly when u say square numbers?

[@daisygascoigne9135]

Please make a video on rearranging formula 😩

[@TheGCSEMathsTutor]

Dais xx There are two videos on this in the algebra playlist 😁🙏🏼 Link - kzbin.info/aero/PLqxP5EuGxPnetOueN9eUhG9o-V4JB48C9

[@jonerasmus9399]

Can you please make a video of sequences that are fractional , with lots of examples .

[@kemssblack9386]

I'm guessing for the penultimate question 49 is supposed to read 39?

[@TheGCSEMathsTutor]

It is indeed!

[@YungXgnas]

Are the square numbers random that u have to use or why do u use them specirically

[@LamarOchen]

Good video. How do you know when to use which expression

[@chefsumayah6064]

did you figure out what to do because im still confused on that

[@zam4416]

Why do you divide it by 2?

[@amydavis4487]

Wow this helped so much with thank you!

[@TheGCSEMathsTutor]

Glad to hear it! 😁🙏🏼

[@Saddafa-p1q]

I do not have words to thank you 😇

[@that.kid.prince6271]

The video was understanding however you made a mistake with the question @ 10:40 it is suppose to be 39 not 49

[@rafaeldxntas]

Thanks man! Keep up with the great content❤

[@shenaliwarsha143]

thank you u deserve more views

[@abdulmomen5959]

where the numbers come, the 1,4,9,16....

[@TheGCSEMathsTutor]

They’re the square numbers 😁🙏🏼

[@abdulmomen5959]

@@TheGCSEMathsTutor Thanks

[@I_love_Jesus_he_saves]

very helpful , God bless

[@thecoffinator3737]

so so so clear of mathswatch

[@emmanuella2975]

Sir, for the question at 4:47 to get from -2 to 7 you add 5 so how is the answer 3n2-5 instead 3n2+5?

[@geophysics_gamer3608]

To get from -2 to 7 you add 9 (not add 5). The -5 in his answer is from the 'diff' part near the bottom of the screen

[@pavanmardania217]

At 11:08 on the first q why didn't you write the 5 square number then compare it to the 5 number in the question

[@itaniloagotobedza2528]

Thank you so much

[@TheGCSEMathsTutor]

No problem at all! Hope it was helpful? 🤞🏽

[@itaniloagotobedza2528]

@@TheGCSEMathsTutor it really was even up to now

[@fluffybarney5546]

wait is quadratic sequence the same as nonlinear sequences

[@shimaaelbaz208]

Thanks

[@sahaanpulhani514]

ur a legend

[@xdgaming952]

making this the 1k like :D thanks a lot

[@TheGCSEMathsTutor]

Haha thanks! 1,000th like 🥇

[@xdgaming952]

@@TheGCSEMathsTutor the pleasure's mine

[@oscillatefn8303]

Broooo 💯🔥💪🙌👏🏅🥇🏆🌟🙏👏💰💰💰😁🙏👏

[@TheGCSEMathsTutor]

🔥🔥🔥🔥

[@patriciatrigo4395]

i dont understand the square numbers!! im so confused and no one explains how they got the square numbers

[@Academicallystressedout]

I hope u see this before going to write exams . Square numbers are 1 * 1= 1 2 * 2=4 3 * 3=9 Basically number that when you square root them a whole number appears . E.g 64 is a square number because the square root of 64 is 8. 8 times 8 gives 64

[@nikkiqueen4797]

why do you x2 or divide by 2 im so confused

[@roses5271]

you only divide the second difference of the sequence by 2 to get the coefficient or number beside n^2

[@msle6053]

@@roses5271 yes but why do u do that? i dont understand the logic behind it if u have any idea?

[@roses5271]

@@msle6053 there is a full algebraic proof : m.kzbin.info/www/bejne/mZulmXegaZd9pLs but it works out so that the second difference is 2a and the form of a quadratic sequence is an^2 +bn+ c , so the second difference is twice , the coefficient of n^2 (a)

[@msle6053]

@@roses5271 thank you very much for taking the time to reply, you've been great.

[@User34451]

I still Dont get this ..fucking hate maths sm

[@moshuahatwell5188]

intro is so loud jesus christ

[@thomas1148]

L video, unclear

[@xxxmulhamxxx5657]

11:21 the 1st question 49-27 isn’t 12 it’s 22😢

[@your.favorite.detective25]

Our teacher gave us this in a wayyy more complicated way (an^2 + bn+ c), it took way too long to solve. This video just made the topic 10x easier so thanks man

[@nanaskittenn]

me too 😭

[@tonymaths4321]

At 10.53 You made a mistake 3,9,17,27,49 The difference between 49 and 27 is 22 but you said 12 Sorry it confused me and I thought I made a mistake but you did lol Excellent tutorial and I understood everything great job 👍

[@pavanmardania217]

Why didn't he write the 5 square numbers and then compare

[@halidunn9376]

yes i was about to comment this. i have been confused for about 5 minutes

[@khishigjargalbayar7820]

So 49-27=12? (11.25min)

[@aomineswife3029]

Wallahi im finished ☠️

[@scubberdiv3157]

my favourite teacher fr. I’m doing my gcse mocks next week and i’m trying to revise as much as possible and i’ve been struggling with this during class and you just saved me

[@readingamber]

at 7:59 im confused on how u got the +1? i understand the 2n part but where does the +1 come from? please let me know

[@arjunsikand1858]

the nth term of that sequence, 3,5,7,9 the nth term is 2n+1

[@niranx_yt7084]

Crazy how you explained it better than corbetthmaths guy, thank you, doing good revison during the half term break before maths paper 2

[@TheGCSEMathsTutor]

So glad to hear it helped! 😁🙏🏼

[@Melon4587]

I’ve got my End of year exam in following 2 weeks, your videos really helped me getting through this whole stuff, much appreciated!

[@maryjagdeo9152]

So um Idk if I'm right but the last set of exercise with 3,9,17,27,49 is it supposed to be 39 instead of 49? I'm not sure

[@logarithmus.naturali]

YES OMG, I was trying to find a comment like this, but yeah, 27+12 is 39, not 49

[@adityashijikumar1131]

Thank you so much for your helpful videos! I find it much easier to revise and teach myself new advanced topics to get the top marks in my class :) Keep up the amazing work buddy, you are much appreciated!!!

[@Zara-br4pr]

Hello, thank you so much for your video. I was taught to write my answer as eg, n2- 4n For example, at 3:40 your answer was 2n2 -1, whereas I have been taught to write 2n2 -n. Would my answer still be correct?

[@TheGCSEMathsTutor]

Nope! If a constant is being added/subtracted from the n^2 value then you have to write the constant, n or -n is a sequence so you need to be careful here 😁🙏🏼

[@Zecos]

Got my exam tomorrow! And just realised how much time I was wasting on crap KZbin videos on trying to learn concepts! *this channel has literally saved me! If I do end up getting a good grade it’s all cuz of you 🫡🫡* Amazing! Keep up the remarkable work ⚡️⚡️ Update: I got an A in IGCSE CIE Math!!! Never thought I could do it💀

[@TheGCSEMathsTutor]

So glad to hear that! Amazing news, I'm so glad to hear that the channel is working for you and thank you for the kind words!

[@Kevin-zf9om]

How did it go?

[@Zecos]

@@Kevin-zf9om it went grapeeee 🇵🇰🍇🍇🍇🥹 I’m expecting an A* in maths which is just mind blowing 🥵

[@Joe-dq1ym]

@@Zecos no way youre a real person and not a fckin robot

[@hasoonnine]

@@Zecosgood job

[@mariahussain7360]

Your videos are so helpful. Thank you so much

[@TheGCSEMathsTutor]

You are so welcome!

[@dsyt3750]

Who all love the intro song

[@anirudhharish838]

Struggled on a quadratic sequence question on a past paper, asked my teacher how to do it. Still didn't understand it. You've explained it x100 better than my teacher. Honestly, you are so helpful and so good at explaining the harder concepts!!!

[@amethystspeaker6919]

If I do well in my maths GCSEs it will be thanks to you😆

[@Rafmee]

7:43 why is it 2n and not n squared because you divide it by 2

[@TheGCSEMathsTutor]

XxUniquecornxX If you look at the second difference between the square numbers they hold the special property of having a second difference of 2, it’s not so much about “dividing the second difference by 2” it’s about identifying the pattern, it’s more of a shortcut to just divide the second difference by 2 to find the coefficient of n squared 😁😁

[@rahimorahimo3788]

Hey how do you find the nth term for quadratic sequences that are in descending order?

[@TheGCSEMathsTutor]

Rahimo Rahimo might be worth a video tbf! It’s highly unlikely you’d be asked to do one though 😁🤞🏼

[@rahimorahimo3788]

@@TheGCSEMathsTutor I got some homework on past paper questions, there were 2 questions on those topics that's why I asked

[@rahimorahimo3788]

Could you explain the 2 questions if I sent it to you, if you have insta or something.

[@aliyah457]

this is the only one that made sense, and my exam's tomorrow. thank you so much!!

[@binderjitkaur2529]

OMGGGGG TYSM this helped alot!!!!!! so glad i came across this video!!!! THNK YOUUUUUUUUUUUUUU :)))))))))))))))))))))))))

[@TheGCSEMathsTutor]

Absolutely no problem at all 😁🙏🏼🙏🏼

[@odufamaduabuchi8177]

How do we know if it a constant difference please never mind I understand now😅 thanks for your wonderful teaching I appreciate😊

[@furrygoose7777]

You ain’t passing bucko

[@Awai_quotes]

Underrated 🙌whenever i wanna search maths video i look for your video first i always understand your videos❤thank you😊

[@ahmD-ce8cr]

Thanks again

[@TheGCSEMathsTutor]

Ahmed Mustafa My pleasure! 😁

[@poorxb]

How to find the square numbers? I didn’t understand

[@hebabneed1656]

1x1=1 2x2=4 3x3=9 4x4=16 And carry on Good luck it is really confusing topic 😱😱

[@16yearsofexistence]

Thank you sir but for the question befroe the last Im sure that the last number in the leading sequence must be 39 instead of 49, or have i mistaken?

[@blake6885]

yeah it was

[@flasked.]

Super helpful

[@TheGCSEMathsTutor]

So glad to hear it 😁🙏🏼

[@jayclipz3229]

lies this was so badly explained. he didn’t even explain where he got his the square number from and what they do and just wrote dumb random number for “the difference”

[@Ebonyrose1401]

tysm this makes so much sense now 😭

[@samesha]

thanks bro

[@poojarawat961]

You got ear pleasing voice

[@TheGCSEMathsTutor]

So glad you think so! 😁

[@ZiaMcFia]

easier and faster than mathswatch, mathswatch is poop compared to this XD

[@TheGCSEMathsTutor]

Glad to hear the channel is working for you! Always good to have multiple tools to supplement your revision 😁🙏🏼

[@aishaarshad376]

i love you

[@TheGCSEMathsTutor]

Thanks!!! 🤣

[@Tepedi]

Disclaimer- teachers were not harmed during this video Jokes apart teachers should be embarrassed seeing the comment section

[@maahinifuria7857]

sir thank you so much. this video has helped me a lot! i am only passing my exams because of you!

[@TheGCSEMathsTutor]

I’m so glad to hear that! Please do let me know how you get on! Thank you for the kind words 😁🙏🏽

[@Haych_]

Great videos☺💯💯💯

[@TheGCSEMathsTutor]

Hamzha Hussain Thank you 😁🙏🏼

[@a.a1061]

thank youuuuu

[@meganeagleton521]

Thank you

[@epicstuff3593]

Thankyou so much! This video helped me a lot

[@scars5505]

9:53, why do you add three? Wouldn’t the answer be -3n-17 instead of -3n+1?

[@catherinecarter3465]

It all makes perfect sense before the airy addition of plus or minus the difference number at the end to get the final integer at the end of the expression. NOwhere is it explained why you add or subtract a number - “minus three so plus three is not an explanation”

[@PARINAO2]

The 49 is supposed to be 39 as 49- 27 doesn’t give u 12. I was so stuck until I noticed 😂😂

[@binladen34444]

HHHHHmjHHHH

[@TheGCSEMathsTutor]

GG

[@Anbet-Plug]

i just moved ti UK i didn't know and i didn't these things , i can't understand when i'm in class because i don't really understand english but u help me too much in maths , there will be GCSE and i'm not really ready but u really help me thank u very much

[@dannyc3039]

For 8:10 your answer is n^2 + 2n +1 but I got (n+1)^2, which also works. will I get a mark for that? Thanks By the way really nice tutorial :)

[@TheGCSEMathsTutor]

Absolutely!!! So glad to hear it helped! 😁🙏🏼

[@samrinakousar8749]

I literally wish you were my personal math tutor thanks a ton.

[@amranimation6183]

What is the last term is odd How do u dive by 2

[@unknownguy1830]

Tomorrow is my maths mocks and just wanted to recap some basics starter questions

[@DINOSAUR_66]

Tyyyyyyy my teacher didt explain how to get the 3rd number lol

[@sohnelbains3102]

FINALLY GET IT

[@TheGCSEMathsTutor]

Amaaaaazing! 😁👌🏼👌🏼👌🏼

[@sohnelbains3102]

@@TheGCSEMathsTutor you must see me on acouple of your videos honestly i dont like learning off corbett maths or hegarty or any of those yours is the best channel out there thanks!

[@boomboxboomingboom]

How do I find a missing term in the quadratic seq?

[@mollieb9605]

This is so so so helpful!!!! Thank you so much!!

[@mistertwister7658]

hey math tutor im confused as to how you find the square numbers here 3:18

[@karoshamadamin1541]

These videos are so helpful thankyou so much and stay smart😉😉😉😉😉😉😙😎😎😎😎😎😎😎

[@karoshamadamin1541]

Hello

[@michalbielik9358]

In 10min 54 sec it's a mistake 27 plus 12 make 39 not 49