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
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!
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
You are the best, this video taught me more than any of my teachers have ever about this topic, I finally understand how to do these types of questions!!!!!, THANKYOU!!!!
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
(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)
I am Ukrainian student in England now and I didn’t teach this topic in Ukraine at all. It’s amazing explanation. Considering the level of my English I can understand it!!You are the best! Thank you so much!!
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😊😊
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)
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
@@JoelPersson2003 this method oftens leads to a lack of understanding of what is going on. Those who just learn rules without knowing what they are doing or why often struggle with more difficult problems. In my experience of teaching this students much prefer the method I used in the video. Check the pinned comment...
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 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.
because for the second part of the -3n you want to find the first number in the sequence that would come before 2. Because you know it decreases by 3 every time, to find the number before 2 you would add three to get 5. Therefore 5 would be the first number of the sequence and it would be -3n+5 for that part. You can test it by doing -3x1= -3 then add five = 2. and 2 is the first number in the sequence.
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
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
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
I'm a year 8 trying to one up my classmates and holy creator of the universe (if there is one,obiviosly) this shot is harder than me to shrek movie but good demonstration made it easier to break my brain cells
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
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?
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
Immediate is wishful thinking! I think you mean 3, 12, 27, ...? We are doing 3n^2 so we started with n^2, which is the square numbers, 1, 4, 9, 16, 25 Then we multiply each of these by 3 giving 3, 12, 27, 48, 75
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
this is the most clear explanation i have ever watched..
Thanks a lot
Glad to hear that!
Same
@@1stClassMathshi man i am confused here 2:16 how did you get 1 4 9 16 25?
@@TheGreatestTerrariaPlayerEver 1 x 1 = 1
2 x 2 = 4
3 x 3 = 9
4 x 4 = 16
5 x 5 = 25
You are great
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
dang, schools can really make us go to the mental hospital sometimes. youre in a public school i guess
Innit
Wow! this was honestly life changing. It makes a thousand times more sense. I no longer look at this question with dread! Thank you 😅
You just saved me 😭 literally writing my math exam tomorrow .. great video
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!
Excellent I am glad it was so useful! I picked it up off another teacher a few years ago :)
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
Yess that's the one I know. It's very simple
That doesnt work with harder more adveanced equation though
Bro thanks so much. This deserves a sub, you teach a much clearer explanation than my tutor.
Like yr teacher
I got stuck on this for quite a while, this video easily cleared a path for me.
Thanks!
You have no idea how much this video helps before an exam!!! 😂 🫡
😂😂 facts
best explanation for quadratic sequences yet. thank you so much for it. love the style man
You're very welcome!
You are the best, this video taught me more than any of my teachers have ever about this topic, I finally understand how to do these types of questions!!!!!, THANKYOU!!!!
You're very 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
Sitting here two nights before an exam, you literally saved my life
(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)
This man is doing gods work! 🙏
By far the most clear explanation and straight to the point . Thank u sir !
I am Ukrainian student in England now and I didn’t teach this topic in Ukraine at all. It’s amazing explanation. Considering the level of my English I can understand it!!You are the best! Thank you so much!!
this is honestly so so helpful. may god bless you. you have just saved me
You're so welcome!
Thank you so much! Now im prepared for my gcses :)
omg i went on like 50 websites trying to get help but this video saved mee
50, that’s a lot!
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😊😊
You are welcome….Einstein. 😁
Thank you this is brilliant! I used to brute-force it and it takes me ages to solve it.
how do you get the values 1,4,9,16, and 25 as the square numbers
1 x 1 = 1
2 x 2 = 4
3 x 3 = 9
4 x 4 = 16
5 x 5 = 25
@@1stClassMathscan you please tell me what the square number values of these are...3;10;21
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 ❤
You're very welcome!
god bless you wonderful man
Thanks!
Good video. Everything was clear and understandable.
Glad you liked it!
thank you so much, i tried watching a lot of videos, this is the best and most clear one :)
Glad to hear that!
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)
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
yea i was searching for this
May I please ask how you got a as 2 and b as -2
This is the easiest method right? Much easier than the method explained in the video.
@@JoelPersson2003 this method oftens leads to a lack of understanding of what is going on. Those who just learn rules without knowing what they are doing or why often struggle with more difficult problems. In my experience of teaching this students much prefer the method I used in the video. Check the pinned comment...
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 so much!!!! I have a maths mock tmrw and didnt understand this but now i feel enlgihtenedd! Thank youuuuuu
Amazing good luck tomorrow.
Hello teacher so thank you because your teaching so simply
God willing every time get happy ❤
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
you should get another teacher if they're saying you ask “too many questions”
@@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.
bro ur doing this in 9th grade?
youre in y9 theres no need to be prepping for gcses rn, take it from a y11 :)
@@kanan597they still have mocks and internal exams
the explanation and visuals were so easy to understand!! thank you so much
You're very welcome!
Why do you add 5 in the 2nd example 5:17
because for the second part of the -3n you want to find the first number in the sequence that would come before 2. Because you know it decreases by 3 every time, to find the number before 2 you would add three to get 5. Therefore 5 would be the first number of the sequence and it would be -3n+5 for that part. You can test it by doing -3x1= -3 then add five = 2. and 2 is the first number in the sequence.
@@sarahouaoua6349Thank you❤
Thank you so much! I understood it instantly after watching this video
Glad it helped!
Thanks. My teacher wouldn't go over this topic saying that we would have to figure it out on the test
I get so confused -- how do i remember all this? i simply will forget 😔😔
It's easy no jokes
thank you so much!!!! that was very helpful!!!!!!🙏🙏🙏🙏🙏
Thank u for the nice explanation. I finally undertood this!!
You are welcome!
very comprehensible, cheers m8
Thank you so much I now understand and tomorrow I have exam you deserve a sub
Thanks for the sub and good luck!
You are a legend thank you for explaining it so well
Glad it helped!
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
Fantastic!
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
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
Get told😂
@@1stClassMaths why minus first, what about bedmas, 2-3+5, don't u have to add 3+5 first, which would give u 8?
I'm a year 8 trying to one up my classmates and holy creator of the universe (if there is one,obiviosly) this shot is harder than me to shrek movie but good demonstration made it easier to break my brain cells
writing my exam today oof, let's hope it goes well🗣💯🍍
Please do the same video but for cubic sequences🙏
Thank you so much this helped me to understand work and now I can do it with ease
Excellent news, glad it was helpful.
Bro thx man I have exam this really saved me
Glad to hear it!
best explination ever sir thanks a lot
math is actually so much fun when you can understand it
Isn't it!
Very good.thanks for such good video. Very useful.
You are most welcome
Great video!
Thanks
Thank you too!
Amazing explanation!
you made the problem easy to solve😁😁
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
Hi. I am not unsure what you mean? Can you give an example and I will try see what's happening :)
i dont get it from 2:09 to 2:40
In the second example it’s supposed to be 3n-1 not 3n+5
Well it is actually neither of those. It is -3n + 5 since -3 + 5 = 2
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?
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.
@@1stClassMaths Ohhhh, thanks sir!
how do you get n2 in the answers
Man I got saved TANK YOU
This was genuinely so helpful and clear thank you 🙏🏼
You're welcome!
Tysm my braincells were fr not braincelling before this vid
saved my grades tysm
np
Thanks a bunch. To the point. If you don't mind, what is the name of the software that you used in this video?
Thanks. I use powerpoint.
thank you 😊
You're welcome 😊
Your video is very helpful
Glad you think so!
This helped so much thank you sooook much❤️❤️❤️❤️❤️
No problem 😊
what if the sequence is 4 7 12 19 the 2 diff is 3 so would we consider 3/2 as 1.5
Yep exactly that
What if the answer after subtracting the sequence is a sequence that has the same number
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
@@1stClassMaths ohhh thank you so much❤
Thanks!
how did you get the 3, 12, 9 and so on in finding the linear part? need an immediate response
Immediate is wishful thinking!
I think you mean 3, 12, 27, ...?
We are doing 3n^2 so we started with n^2, which is the square numbers, 1, 4, 9, 16, 25
Then we multiply each of these by 3 giving 3, 12, 27, 48, 75
I didn't understand how you got the squared numbers 1,4,9,...😢
@1stclassMaths
thank you very much bro.............
Thank you too :)
Thank you so mach😅 you save ME
if i donot see this vidio i will get
The first sequence of the last example is 4 but the formula given has a result of -4. Is it correct?
Hi I am unsure what you mean. The first term in the final sequence is 4 and the nth term is correct. It will give +4 rather than -4?
thank you helped a lot
Thank you so much ❤
You're welcome 😊
On the second sequence where did you get the square numbers from
Square numbers are from 1x1, 2x2, 3x3 etc
What if the second difference is not constant?
The sequence is not a quadratic sequence.
why is it that when i substitute into my answer to check whether it is wrong or correct im getting a wrong value??
Possibly not substituting right.
When you have e.g. 2n^2 and you substitute n = 1 you must do 2 x 1^2 = 2 and NOT (2 x 1)^2 = 4
What happens if 2nd difference is an odd number like 5? Would nth term be written starting with 2.5n
Yes
@1stClassMaths wow thanks for the super swift reply!! 😁😁
why is it 4n -1 but not for ex 4n+1
THANK YOU SO MUCH
NO PROBLEM
Thank you so much sir ❤
I didnt understand 5:43
how did u get the squared numbers
1 x 1 = 1
2 x 2 = 4
3 x 3 = 9
4 x 4 = 16
5 x 5 = 25
10 mins before my exam 😂
What about cubic?
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
Ikr idek why but at least i can do it now💀
Thank you very much!
THANK YOU
bro how you did that 2:18 3n²
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?
because you halve the second difference (6)
LUB U SO MUCH OMGGGGG
Thank you it's working
you can actually apply the same idea to find out the nth term of any polynomial
Very good
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
They are the square numbers.
@@1stClassMaths ...and in the last how he get -1 that is the value of c he find out ..how it comes?
i did this question and I got 2nsquared - 1n + 3, can you tell me what i did wrong? - (2,7,16,29,46)
It is 2n^2 - n + 1
@@1stClassMaths Oh really? Chat gpt is wrong then 🤣 THANK YOU!!!
chatgpt is pretty bad at maths.
What about having 3 layer on the sequence?
It would be a cubic sequence
@@1stClassMaths is that any method to solve it?Btw thank you for your response
Hi yes there is but it is not needed for GCSE. Search for cubic nth term videos. 😀
I finally understand