Finding the nth term of a Quadratic Sequence - GCSE Higher Maths
A video explaining how to find the nth term of a quadratic sequence. This topic is on the GCSE Maths Higher course and not foundation. If you want to check linear sequences use this video: • Sequences and Finding ...
Exam Question Booklets:📝
🔗Exam Question Edexcel Style: www.1stclassmaths.com/_files/...
🔗Exam Questions AQA Style: www.1stclassmaths.com/_files/...
🌐 www.1stclassmaths.com/ for more high quality revision questions.
0:00 Intro
0:18 Finding the second difference
1:26 Finding the coefficient of n squared
1:58 Finding the linear part
3:23 Finding the nth term of the quadratic sequence
3:48 A second example
To help my channel:
❤️Like
💬Comment
🔔Subscribe
Follow me on:
/ 1stclassmaths
/ 1stclassmaths
/ 1stclassmaths
Пікірлер: 179
this is the most clear explanation i have ever watched.. Thanks a lot
@1stClassMaths
5 ай бұрын
Glad to hear that!
Thank you so much, my school did a 1 hour lesson on this and they werent able to teach anyone. I sent this to everyone in my class, we are saved! Thank you so much, you're doing gods work
Wow! this was honestly life changing. It makes a thousand times more sense. I no longer look at this question with dread! Thank you 😅
By far the most clear explanation and straight to the point . Thank u sir !
Thank you so much! Now im prepared for my gcses :)
You have no idea how much this video helps before an exam!!! 😂 🫡
@Goose_G.O.D
3 ай бұрын
😂😂 facts
This is a spectacular explanation. I am a middle school math teacher who has been struggling to grasp an easy way to explain this for weeks. Thanks so much!
@1stClassMaths
5 ай бұрын
Excellent I am glad it was so useful! I picked it up off another teacher a few years ago :)
Bro thanks so much. This deserves a sub, you teach a much clearer explanation than my tutor.
Amazing explanation!
this is honestly so so helpful. may god bless you. you have just saved me
@1stClassMaths
27 күн бұрын
You're so welcome!
You just saved me 😭 literally writing my math exam tomorrow .. great video
thank you so much!!!! that was very helpful!!!!!!🙏🙏🙏🙏🙏
the explanation and visuals were so easy to understand!! thank you so much
@1stClassMaths
5 ай бұрын
You're very welcome!
very comprehensible, cheers m8
Thank u for the nice explanation. I finally undertood this!!
@1stClassMaths
Ай бұрын
You are welcome!
You taught this much better than my teacher, my teacher explained it differently, i did understand but your explanation is way better, thank you a lot im using you to revise for my end of year 9 assessment
thank you so much, i tried watching a lot of videos, this is the best and most clear one :)
@1stClassMaths
4 ай бұрын
Glad to hear that!
Hello teacher so thank you because your teaching so simply God willing every time get happy ❤
Honestly, ty so much .I tried to watch the corbet maths video on this and was on the verge of tears 😂.this vid makes so much sense now ❤
@1stClassMaths
6 ай бұрын
You're very welcome!
It helped a lot . Thanks ❤❤❤ I didn’t understand a thing about how to find the nth term of a quadratic sequence but after this video , you would think I was Einstein!! 😂😂 Thanks again😊😊
@1stClassMaths
6 ай бұрын
You are welcome….Einstein. 😁
this was so clear! my teacher has been so difficult with explaining it to me lately, and always got annoyed when i asked “too many questions” so i haven’t been able to understand ANY of it. but this cleared pretty much everything up. as a student in year 9, i feel much more prepared for my gcse prep now
@ieatmentoss1714
2 ай бұрын
you should get another teacher if they're saying you ask “too many questions”
@RedditsFunTales
2 ай бұрын
@@ieatmentoss1714 exactly, school is a place for development. teachers should be pleased if a student asks a lot of questions as it shows their interest in the topic and forecasts they need help. must be a crappy teacher if that is their excuse.
@PKisBetter
2 ай бұрын
bro ur doing this in 9th grade?
@kanan597
2 ай бұрын
youre in y9 theres no need to be prepping for gcses rn, take it from a y11 :)
@aleynak-wn5xq
2 ай бұрын
@@kanan597they still have mocks and internal exams
You are a legend thank you for explaining it so well
@1stClassMaths
21 күн бұрын
Glad it helped!
best explination ever sir thanks a lot
thank you helped a lot
Thank you very much!
how do you get the values 1,4,9,16, and 25 as the square numbers
@1stClassMaths
5 ай бұрын
1 x 1 = 1 2 x 2 = 4 3 x 3 = 9 4 x 4 = 16 5 x 5 = 25
Thanks!
Thank you so much! Also here's another method: a: second diff / 2 b: 3a+b = first diff of first term c: a+b+c = first term Now, all you have to do is sub a, b, and c into the equation T(n) = an²+bn+c. *Leave T and n as variables
Man thank you so much for this video you are a legend i have a assessment on this topic and it is worth half my grade aand i didnt understand a thing my teacher taught me vut after watching this video i understand so much that i might just ace the assignment thx so much
@1stClassMaths
5 ай бұрын
Fantastic!
I get so confused -- how do i remember all this? i simply will forget 😔😔
omg i went on like 50 websites trying to get help but this video saved mee
@1stClassMaths
6 ай бұрын
50, that’s a lot!
you made the problem easy to solve😁😁
This helped so much thank you sooook much❤️❤️❤️❤️❤️
@1stClassMaths
5 ай бұрын
No problem 😊
Very good.thanks for such good video. Very useful.
@1stClassMaths
6 ай бұрын
You are most welcome
THANK YOU SO MUCH
@1stClassMaths
Ай бұрын
NO PROBLEM
Thank you so much 😀
sorry to ask, but how did you find a sequence for 3n^2 on the first one, do i just square root like the first one i have to square root, then the second one, then the third one?
@1stClassMaths
6 ай бұрын
Don't apologise! For the 3n^2 sequence you do the square numbers so 1,4,9,16,25 then multiply them all by 3.
@hamzasherasmat6593
6 ай бұрын
@@1stClassMaths Ohhhh, thanks sir!
Thank you it's working
Thank you so much I now understand and tomorrow I have exam you deserve a sub
@1stClassMaths
2 ай бұрын
Thanks for the sub and good luck!
I was trying to find the Nth term of quadratic equation from last two days but could not understand. But you explained it very well in short method 👍
thank you!
sometimes theres a sub question after you find the nth term of the sequence where it asks you to prove if a number is apart of the nth term of the sequence that you just found out. how do you do those sort of questions? (also thanks for explaining this topic so well it makes alot more sense now)
Thank you so much ❤
@1stClassMaths
6 ай бұрын
You're welcome 😊
THANK YOU
Your video is very helpful
@1stClassMaths
6 ай бұрын
Glad you think so!
Thanks so much!
@1stClassMaths
2 ай бұрын
You're welcome!
The last example is 2nsqure+-3n+5 not 2nsqure-3n+5 ,you forget to put the plus, if you want to work out the first term of the original sequence by using 2nsqure-3n+5 it will be 2-2 which is 0 but if use 2nsqure+-3n+5 it will be 2+2 which 4, in all cases we adding because the third sequence plus the second sequence equal the first sequence
@1stClassMaths
6 ай бұрын
Hi. Unfortunately you are not correct here. 2n^2 + - 3n + 5 is equivalent to 2n^2 - 3n + 5 (which is the answer). When you add a negative it is just the same as subtracting. Your errors comes in your substitution. If you substitute in n = 1 you get 2*(1)^2 - 3(1) + 5 = 2 - 3 + 5 = 4
@gracehathaway2715
6 ай бұрын
Get told😂
@toneless4345
Ай бұрын
@@1stClassMaths why minus first, what about bedmas, 2-3+5, don't u have to add 3+5 first, which would give u 8?
cheers mate
thank you very much bro.............
@1stClassMaths
6 ай бұрын
Thank you too :)
thank you 😊
@1stClassMaths
6 ай бұрын
You're welcome 😊
On the second sequence where did you get the square numbers from
@1stClassMaths
3 ай бұрын
Square numbers are from 1x1, 2x2, 3x3 etc
god bless you wonderful man
@1stClassMaths
3 ай бұрын
Thanks!
Hello, why doesn’t the quadratic sequence formula work here? I do an^2 + bn + c but i get incorrect answers while in other questions i use the formula and its correct
@1stClassMaths
3 ай бұрын
Hi. I am not unsure what you mean? Can you give an example and I will try see what's happening :)
Thanks a lot
@1stClassMaths
21 күн бұрын
No worries!
THANK U SM
@1stClassMaths
6 ай бұрын
No problem
Thank you😊
@1stClassMaths
5 ай бұрын
You're welcome 😊
(second difference/2)×n² square numbers multiplied by 2 (including 1) subtract the original sequence by the square numbers multiplied by 2 find the general rule for the new linear sequence brought forth by subtracting the two (first difference×n + first term-x=first difference)
thanks!
@1stClassMaths
3 ай бұрын
No problem!
Thank you so mach😅 you save ME if i donot see this vidio i will get
THANKYOUTHANKYOUTHANKYOUTHANKYOU!!!
@1stClassMaths
3 ай бұрын
NP
What happens if 2nd difference is an odd number like 5? Would nth term be written starting with 2.5n
@1stClassMaths
28 күн бұрын
Yes
@andrewr3243
28 күн бұрын
@1stClassMaths wow thanks for the super swift reply!! 😁😁
why is it 4n -1 but not for ex 4n+1
Thanks so much
@1stClassMaths
8 ай бұрын
You're welcome!
This was genuinely so helpful and clear thank you 🙏🏼
@1stClassMaths
4 ай бұрын
You're welcome!
What if the second difference is not constant?
@1stClassMaths
4 ай бұрын
The sequence is not a quadratic sequence.
What if the answer after subtracting the sequence is a sequence that has the same number
@1stClassMaths
6 ай бұрын
Great question. This just means the nth term of it is simply the constant number. So if it's always 3, 3, 3, 3, your nth term might be something like n^2 + 3
@user-so5qr5jh8p
6 ай бұрын
@@1stClassMaths ohhh thank you so much❤
What about having 3 layer on the sequence?
@1stClassMaths
8 ай бұрын
It would be a cubic sequence
@NpcFR01
8 ай бұрын
@@1stClassMaths is that any method to solve it?Btw thank you for your response
@1stClassMaths
8 ай бұрын
Hi yes there is but it is not needed for GCSE. Search for cubic nth term videos. 😀
5:16 how did u get the +5!? Pls 😢answer brother i got an exam tomorrow
@1stClassMaths
8 ай бұрын
To get from -3 to +2 (the first term) we add 5
@RoBotOnd
8 ай бұрын
@@1stClassMaths Thank you so much!! ❤️
Why we use the 1,4,9,16,25 values to multiply with woth to get the answer 3,12,27,48,75...kindly anyone plz help me at this stage bcz I didn't get the point from where we get 1,4,9,16,25 values
@1stClassMaths
5 ай бұрын
They are the square numbers.
@educationservices7426
5 ай бұрын
@@1stClassMaths ...and in the last how he get -1 that is the value of c he find out ..how it comes?
10 mins before my exam 😂
In the second example it’s supposed to be 3n-1 not 3n+5
@1stClassMaths
2 ай бұрын
Well it is actually neither of those. It is -3n + 5 since -3 + 5 = 2
bro how you did that 2:18 3n²
@1stClassMaths
7 ай бұрын
Bro not sure what you mean? Where did the 3n^2 come from or how did I get the numbers 3, 12, 27, 48 and 75?
@nicole27777
7 ай бұрын
because you halve the second difference (6)
i did this question and I got 2nsquared - 1n + 3, can you tell me what i did wrong? - (2,7,16,29,46)
@1stClassMaths
2 ай бұрын
It is 2n^2 - n + 1
@KOZBON-lv8zy
2 ай бұрын
@@1stClassMaths Oh really? Chat gpt is wrong then 🤣 THANK YOU!!!
@1stClassMaths
2 ай бұрын
chatgpt is pretty bad at maths.
I DID understand
Okay so the thing is my sequence is 4,9,16,25 how do i do that?
@1stClassMaths
4 ай бұрын
Same way. The second difference is 2 so you have n^2. Subtract this (1,4,9,16,25) from the sequence and you get 3,5,7,9,11 The nth term of the linear part is 2n+1 so n^2 + 2n + 1
@alescuzyehhh
2 ай бұрын
@@1stClassMathsoh wow you replied to soo many comments!! that mustve taken a long time ahah.. thank you so much for this video, its so helpful.. i was struggling to understand it in my class but this made it so much easier for me!!
@1stClassMaths
2 ай бұрын
I try to answer as many of the questions as I can.
@alescuzyehhh
2 ай бұрын
@@1stClassMaths 😂😂😂
thank you broo😭 my teachers can’t explain it properly. but why tf would i need to know how to find an nth term?? it’s so long asw like what the heck
@k.kai2434
4 ай бұрын
Ikr idek why but at least i can do it now💀
saved the paper 2
you can actually apply the same idea to find out the nth term of any polynomial
Thanks a bunch. To the point. If you don't mind, what is the name of the software that you used in this video?
@1stClassMaths
2 ай бұрын
Thanks. I use powerpoint.
I dont grt why u added 5 on the 2nd equation
Class video
@1stClassMaths
Ай бұрын
1st Class
5:06 i dont understand the linear part because 2(1)^2 is 4 but you said 2!!!!!!!
@Sadisfynotfound
2 ай бұрын
ok i understand now thx
I didnt get a linear sequence the question was find the nth term of the sequence 4,9,16,25,36
I didn't understand
@galaxyz3709
2 ай бұрын
Practice and you will get it
@alescuzyehhh
2 ай бұрын
@@galaxyz3709yep!!
@waleedmalik785
2 ай бұрын
If you want a easier way to find b,the equation 3a + b=the first term of the first sequence.It will give you value of b,you can find the value of c using the quadratic equation,an2+bn+c,put the value of a and b and find c,btw the 2 in an2 represents the n being squared.
@pces.x
Ай бұрын
I don’t, I don’t get it
@GamingWithJas-ff4yf
Ай бұрын
What its so easy
even with the best explaination vid about nth term Quadratic Sequence, it still sounds complicated enough. This shows how stupid this tpoic is
@k.kai2434
5 ай бұрын
Yeah 💀
a+b+c = first original term 3a + b = 1st diff first term 2a = 2nd diff first term a+b+c = 8, 12, 20, 32, 48 3a+b = 4, 8, 12, 16 2a = 4, 4, 4 a = 2, b = -2 c = 8 2n^2 - 2n + 8
@L0St_Memories0
2 ай бұрын
yea i was searching for this
Anybody can solve this Find the nth term of the sequence 3,5,10,22,47,93
I suck at this chapter
@k.kai2434
4 ай бұрын
Same💀
Not really helping but at least I have an idea on what the nth term of 5 7 11 14 19 is
is it just me or does this not help AT ALL😭🙏🏾
@1stClassMaths
Ай бұрын
Maybe just you :(
Thanks!
THANK YOU SO MUCH
@1stClassMaths
Жыл бұрын
You're welcome!
Thanks!
@1stClassMaths
8 ай бұрын
No problem!