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

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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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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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🔹 Practice the questions
🔹 Mark your work
🔹 Review everything you have learnt
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Опубликовано:

13 окт 2024

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Комментарии : 282

@TheGCSEMathsTutor 4 года назад

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

@bilalhussain6417 4 года назад

Your only human after all

@TheGCSEMathsTutor 4 года назад

Ha! Exactly! 🤣

@bilalhussain6417 4 года назад

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

@ajgmz 2 года назад

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 2 года назад

@@bilalhussain6417 a

@a2lyy 4 года назад

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

@TheGCSEMathsTutor 4 года назад

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

@ajgmz 2 года назад

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 Год назад

HHHHHmjHHHH

@binladen34444 Год назад

HHHHHmjHHHH

@sugarcrane7982 7 месяцев назад

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 3 года назад

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 2 года назад

how did it go?

@quinstarstar Год назад

@@huh7708 good

@venux2664 4 месяца назад

How did urs go@@huh7708

@rahimorahimo3788 4 года назад

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

@TheGCSEMathsTutor 4 года назад

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

@rahimorahimo3788 4 года назад

Thanks

@your.favorite.detective25 2 года назад

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 9 месяцев назад

me too 😭

@scubberdiv3157 11 месяцев назад

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

@missyrandom493 4 года назад

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 4 года назад

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

@missyrandom493 4 года назад

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

@lilacc_sunrise Год назад

@@missyrandom493 uwu? Wth

@coderecker-lr7io 6 месяцев назад

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

@anirudhharish838 Год назад

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!!!

@Melon4587 Год назад

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

@raheemakhmed3181 4 месяца назад

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

@nifemiomo5373 4 года назад

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

@TheGCSEMathsTutor 4 года назад

topballer12345 It should say 39 🤦🏼‍♂️

@Awai_quotes 3 года назад

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

@rizztv4010 3 года назад

@@Awai_quotes same

@mrcheese1373 3 года назад

@@rizztv4010 wagwan g

@nuraalali880 3 года назад

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

@charlotteraffle4779 3 года назад

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

@niranx_yt7084 2 года назад

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

@TheGCSEMathsTutor 2 года назад

So glad to hear it helped! 😁🙏🏼

@aliyah457 3 года назад

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

@adityashijikumar1131 3 года назад

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!!!

@kamrankabir8101 Год назад

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 Год назад

I’m so glad to hear I could help! 😁🙏🏼

@Awai_quotes 3 года назад

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

@mariahussain7360 4 месяца назад

Your videos are so helpful. Thank you so much

@TheGCSEMathsTutor 4 месяца назад

You are so welcome!

@imisiee 2 года назад

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

@Zecos 2 года назад

Got my exam tomorrow! And just realised how much time I was wasting on crap RU-vid 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 2 года назад

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 2 года назад

How did it go?

@Zecos 2 года назад

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

@Joe-dq1ym Год назад

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

@hasoonnine 11 месяцев назад

@@Zecosgood job

@tonymaths4321 3 года назад

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 3 года назад

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

@halidunn9376 2 года назад

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

@eloiseteisha2142 4 года назад

i literally have year 10 mocks starting tomorrow and your videos have absolutely saved me! thank you so much 💛

@TheGCSEMathsTutor 4 года назад

Eloise Teisha Great to hear it! Glad it’s helpful and good luck 😁🙏🏼🙏🏼

@lilacc_sunrise Год назад

Heyy

@nethanwijayaweera6477 11 месяцев назад

i have them next week 💀

@__mints__ Год назад

How does a maths tutor have the best quality RU-vid intro I have ever seen?

@flamey7032 2 дня назад

ong

@samrinakousar8749 2 года назад

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

@sumaiyya5644 3 года назад

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

@Zara-br4pr 3 года назад

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 3 года назад

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 😁🙏🏼

@amraahriaze3252 2 года назад

THANK YOU SO MUCH, was really struggling with this topic, I watched several videos on YT but you are a genius! Made my life easy thanks again

@TheGCSEMathsTutor 2 года назад

So glad you are enjoying them! Let me know how you get on 😁🙏🏼

@maryjagdeo9152 3 года назад

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 7 месяцев назад

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

@khishigjargalbayar7820 5 месяцев назад

So 49-27=12? (11.25min)

@shuttyskenzin9237 Год назад

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?

@hanguangjunnn Год назад

i have been confused about quadratic sequences for weeks at school! they make it too complicated, but you were simple and straightforward. im so grateful i found this video, i understood everything instantly! ive got a maths test tomorrow, and i was telling myself, “you’re only 12, this is difficult, so the grade boundaries shouldn’t be too harsh!!” to keep myself from stressing. truly, this video is a gem 💗

@idontknow1630 Год назад

you do this in yr7/8? damn how so early

@hasoonnine 11 месяцев назад

@@idontknow1630probably from India

@carrieyoung3428 Год назад

Hi. Why do you ➗ the second difference by 2? I'm probably missing something silly. I understand that when you complete the square you need to divide by two. Is this relative to it? Thanks 👍

@rayanalmazumi3538 4 месяца назад

that was amazing learnt in 15 minutes god bless you sir

@binderjitkaur2529 3 года назад

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

@TheGCSEMathsTutor 3 года назад

Absolutely no problem at all 😁🙏🏼🙏🏼

@rahimorahimo3788 4 года назад

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

@TheGCSEMathsTutor 4 года назад

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

@rahimorahimo3788 4 года назад

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

@rahimorahimo3788 4 года назад

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

@amethystspeaker6919 3 года назад

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

@scars5505 3 года назад

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

@Ebonyrose1401 Год назад

tysm this makes so much sense now 😭

@pinguino23 Год назад

What a surprise! The practise question you did at 10:44 showed up on today's paper!! Managed to get it right as well 😁

@16yearsofexistence 2 года назад

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 2 года назад

yeah it was

@Anbet-Plug 2 года назад

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

@epicstuff3593 2 года назад

Thankyou so much! This video helped me a lot

@techbox6930 2 года назад

thank you soooooooo much this really helped me you dont know how happy i am that i understood this

@athenaenergyshine7616 2 года назад

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

@LamarOchen 2 года назад

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

@chefsumayah6064 6 месяцев назад

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

@mollieb9605 3 года назад

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

@priya200328 2 года назад

Thanks much more easier than the cgp book… honestly those methods so confusing!!!

@catherinecarter3465 Год назад

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”

@theminorspectre8756 2 года назад

Hi,thanks for this video, i found it to be super helpful considering how complicated my school made this to be.I find it difficult to understand cubic sequences though. However, I can't really find cubic sequences in your channel.

@maahinifuria7857 3 года назад

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

@TheGCSEMathsTutor 3 года назад

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

@YungXgnas 7 месяцев назад

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

@adorabellaa7058 Год назад

Hello sir, im a little confused how do you know the difference between just finding the nth term and the quadratic term?

@TheGCSEMathsTutor Год назад

I’m not sure I understand which aspect of the question you are struggling with. Could you rephrase it? 🙏🏼

@chefsumayah6064 6 месяцев назад

@@TheGCSEMathsTutor like how do you know when to use the first method and when to use the second one

@dannyc3039 2 года назад

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 2 года назад

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

@maiviina Год назад

thank you so much my teacher is really bad so i didn't understand this when she taught it me, but now i do! thank you again 😅

@sakz6064 2 года назад

Hi, what would the rule be for the sequence: 1,2,4,8,16,32,64,128...

@jonerasmus9399 Год назад

What is the difference between a geometric sequence and a quadratic sequence?

@Twister00500 3 года назад

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

@frankiebone5845 2 года назад

best video ever thanks soooooooooooooo much i finally understand it

@AJMartinovich 6 месяцев назад

at 10:12 why do you add one

@karoshamadamin1541 3 года назад

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

@karoshamadamin1541 3 года назад

Hello

@jonerasmus9399 Год назад

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

@3ly415 2 года назад

Your videos are soo helpful, thank you so much !

@TheGCSEMathsTutor 2 года назад

So glad to hear it helped! 😁🙏🏼

@odufamaduabuchi8177 Год назад

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

@furrygoose7777 Год назад

You ain’t passing bucko

@sissi9100 Год назад

Is there a way to do cubic sequences in a similar manner?

@Atomic_Slayer 10 месяцев назад

Can you do videos on the negatives sequences, they all seem to be going up but not going down?

@Alx_-op6kw 9 месяцев назад

surely quadratic sequences only go up bc it is being squared?

@Atomic_Slayer 9 месяцев назад

Of course it can go down, then the sequence will be negative n

@kat1e.m Год назад

This is so helpful thank you!

@pippacascarina Год назад

Sir you’re a life saver

@lilacc_sunrise Год назад

I don't understand it lol

@TheGCSEMathsTutor Год назад

So glad to hear I could help 😁🙏🏼

@Saddafa-p1q Год назад

I do not have words to thank you 😇

@kemssblack9386 2 года назад

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

@TheGCSEMathsTutor 2 года назад

It is indeed!

@b3akine 2 года назад

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

@TheGCSEMathsTutor 2 года назад

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

@senjitsu 4 месяца назад

Thank you so much !

@sajedamarghni7105 2 года назад

OMG Thank you soooo much now i understand mathsss and ur making me pass my igcse haha

@amydavis4487 3 года назад

Wow this helped so much with thank you!

@TheGCSEMathsTutor 3 года назад

Glad to hear it! 😁🙏🏼

@ahmD-ce8cr 4 года назад

Thanks again

@TheGCSEMathsTutor 4 года назад

Ahmed Mustafa My pleasure! 😁

@HAASASL 3 года назад

It was very helpful and was so easily explained. Thank you

@MohammedIsmail-uj8yl 5 месяцев назад

excellent job

@I_love_Jesus_he_saves 11 месяцев назад

very helpful , God bless

@shenaliwarsha143 3 года назад

thank you u deserve more views

@meganeagleton521 3 года назад

Thank you

@flasked. 2 года назад

Super helpful

@TheGCSEMathsTutor 2 года назад

So glad to hear it 😁🙏🏼

@jayclipz3229 Год назад

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”

@Rafmee 4 года назад

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

@TheGCSEMathsTutor 4 года назад

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 😁😁

@ngoubenerolond3602 2 месяца назад

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

@rafaeldxntas Год назад

Thanks man! Keep up with the great content❤

@emmanuellaofficial 2 года назад

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 2 года назад

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

@hamdaanjouhar6216 3 года назад

This video will really help me in my exams

@موسى_7 2 года назад

Using a table for n, a(n^2), x, and x-a(n^2) would have made things easier to follow.

@boomboxboomingboom 4 месяца назад

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

@peterokello2004 2 года назад

There is a mistake in the sequence on minute 12:00 of this video clip. The left sequence should read 3, 9, 17, 27 (39 not 49)

@amranimation6183 8 месяцев назад

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

@unknownguy1830 Год назад

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

@Rockerfeller26 3 года назад

Thank you Soo much for this video 😩

@Haych_ 4 года назад

Great videos☺💯💯💯

@TheGCSEMathsTutor 4 года назад

Hamzha Hussain Thank you 😁🙏🏼

@samesha Год назад

thanks bro

@that.kid.prince6271 3 года назад

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

@daisygascoigne9135 4 года назад

Please make a video on rearranging formula 😩

@TheGCSEMathsTutor 4 года назад

Dais xx There are two videos on this in the algebra playlist 😁🙏🏼 Link - ru-vid.com/group/PLqxP5EuGxPnetOueN9eUhG9o-V4JB48C9

@thecoffinator3737 Год назад

so so so clear of mathswatch

@a.a1061 2 года назад

thank youuuuu

@itaniloagotobedza2528 3 года назад

Thank you so much

@TheGCSEMathsTutor 3 года назад

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

@itaniloagotobedza2528 2 года назад

@@TheGCSEMathsTutor it really was even up to now

@sohnelbains3102 3 года назад

FINALLY GET IT

@TheGCSEMathsTutor 3 года назад

Amaaaaazing! 😁👌🏼👌🏼👌🏼

@sohnelbains3102 3 года назад

@@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!

@jalalgamesytshah6946 2 года назад

This is the easier way to find out the n-th term but you wont get any marks for it. You have to use the full method, including the substitution of an^2+bn+c , simultaneous equations and everything you know. So yeah