OKAY WHAT THIS WORKED WELL FOR ME AHHHHHHHHHH THANK YOU SO MUCH FOR THIS VIDEO!!!! I spent hours trying to figure this out, but this video helped me a lot!!! Thanks again!
I’m so glad to hear/read it helped :) Thanks for your happy/positive words! The tutorial and notes (with worksheets) on this topic may also help: www.radfordmathematics.com/algebra/sequences-series/difference-method-sequences/quadratic-sequences.html Take care Dani!
@@RadfordMathematics Although I have one question if you don't mind asking... I understand when u said that example how 2a= the second difference, 3a+b= The second term minus the first term and so on, But what does a,b and c stand for respectively??
a, b and c are the coefficients you need to find. The generalized formula for a quadratic sequence is u = an^2 + bn + c, all quadratic sequences have a formula like that! The only thing that distinguishes one quadratic sequence from another are its values of a, b and c :) So once you know that you’re dealing with a quadratic sequence you know that it’s formula looks like u = an^2 + bn + c, all you have to do is find its values of a, b and c.
This really helped me to understand finding the nth term of a quadratic sequence. It is one of the best videos out there on the subject, thank you so much.
THANK YOU!!! I was pouring over a math problem for hours and feeling so frustrated, then I watched this video, plugged my numbers in, and there it was, so grateful.
Thank you for such a kind message Lilba :) Really glad to hear/read that it helps!!! If you want some extra practice you can see some questions (don’t worry it’s completely free) on my site: www.radfordmathematics.com/algebra/sequences-series/difference-method-sequences/quadratic-sequences.html
Hi Jack, thank you for the kind words, I'm really glad to hear it helped :) If you want you can also practice this topic (with the tutorial) on my site that goes with it. Here's the link: www.radfordmathematics.com/algebra/sequences-series/difference-method-sequences/quadratic-sequences.html Wishing you all the best, John Radford.
I have an exam in like 2 Hrs and I have to go to school and write it! I asked one of my friends to help me out with this particular sequence but he was just as confused as me lol. But I am actually glad that I found this video. Thank you so much for the hard work you put into it and to be honest your doing a great job! You are doing amazing and please keep going. Thank you :)
AWESOME!!!! THANK YOU!!! The best explanation I saw. I spent 3hrs trying to help my son's 7th grade homework. This is such a great video and a relief. Good Karma and Great blessings to you. Subscribed!
Thank YOU SO MUCH!!!!!!! I WAS SEARCHING FOR AN IDEAL FORMULA FOR THE PAST 6 HRS!!!! Some Videos were fooling me by giving ineffective Formulae!!!! Thanks Genious Ranford
Thanks for your message Yoshikage :) I’m really glad to hear/read it helped 😁 If ever you want practice exercises... you’ll find some on my site. Here’s the page on quadratic sequences : www.radfordmathematics.com/algebra/sequences-series/difference-method-sequences/quadratic-sequences.html Hope it helps 😁 Take care!
+Leute Heute I’m really glad it helped :) Working on adding quite a few new tutorial and webpages these days, don’t hesitate to follow RadfordMathematics.com on Facebook to stay posted :) See you soon!
+Leute Heute you can also check out plenty of practice of quadratic sequences on our site (remember we’re still in the process of adding all the pages...) www.radfordmathematics.com/algebra/sequences-series/difference-method-sequences/quadratic-sequences.html
Thanks for taking the time to comment Toba! And thanks for your kind words 😊 Maybe your teacher was just having a bad day... happens to all of us at times 😊 Truly glad this helped! Wishing you all the best! Take good care ✌️
thank you thank you thank you!!!! , the clearest and simplest video I saw for quadratic equation as i was extremely struggling with it and your video helped me alot, you are a great teacher and i am very very happy that i knew about your channel
Hi Basma! Thank you for such kind words!!! :) I am very glad the tutorial helped! If you want some extra practice, on quadratic sequences, don’t hesitate to visit the page on my site that goes with this tutorial. The link: www.radfordmathematics.com/algebra/sequences-series/difference-method-sequences/quadratic-sequences.html Again thank you for the message! Wishing you all the best, John Radford.
Thanks so much for this video, I’m glad your video’s the first one I found. I just have one question; how did we come up with the 3 equations that you provided us? Thank you so much!! Good luck to everyone revising!
I'm really glad to hear/read it helped :) Should you need it you can also find this tutorial alongside practice exercises and their solutions on my site: www.radfordmathematics.com/algebra/sequences-series/difference-method-sequences/quadratic-sequences.html (it's still being built... But it's getting there :) ) Wishing you all the very best! John Radford.
Hello Alejandro! Yes it certainly does :) If it helps, you can see some practice questions (with answer keys) here: www.radfordmathematics.com/algebra/sequences-series/difference-method-sequences/quadratic-sequences.html Wishing you all the best, John Radford.
Hi Sam! I’m so glad it helped :) If ever you want some practice questions, I’ve added some to my site: www.radfordmathematics.com/algebra/sequences-series/difference-method-sequences/quadratic-sequences.html Maybe it could help even more :) All the best, John Radford
Hi Peter! I'm really glad to hear it helped :) if you want some more practice with notes, tutorials and exercises on this topic check out my site: www.radfordmathematics.com/algebra/sequences-series/difference-method-sequences/quadratic-sequences.html Hope it helps :)
Awesome videos! Now what if the differences have a geometric sequence i.e. the difference between each terms is multiplied a constant value. It would be a great help.
Thanks for your comment! 😊 And I agree! I’m working on making a good video on explaining the “difference method” and the derivation of the various formula it leads to… . Take care ✌️
Hi Joshua, good question! The answer is « yes » the difference method works for higher powers (such as cubic, quartic, quintic sequences...). In fact you’ll find the link to the difference method for cubic sequences right here: Cubic Sequences - How to find the formula for the n-th term ruclips.net/video/gIT0YXO1XFY/видео.html Hope that helps :)
Really glad it helps :) Sorry initially tapped the « thumbs down » by mistake :) If you’d like to practice even more, you’ll find my online notes/exercises on this topic here: www.radfordmathematics.com/algebra/sequences-series/difference-method-sequences/quadratic-sequences.html Hope that helps :) All the best, John Radford.
I have a question Are there any tutorials on why there is an specific formula for this. I'm talking about the "red" 3:40 edit: or atleast give me what are they called (formulas)
@@RadfordMathematics Yes it did!! I used to have 6 mistakes in my tests learning this, now I only have 1 ever since I watch your video! You are so cool! Sending warm prayers
Thanks for taking the time to write your comment Ins4rt_Username (not a simple name to type there) 😊 I truly appreciate it. In fact you can choose to start at u_0 or u_1. It doesn’t actually matter provided you make a choice. In many countries (such as France) sequences always start with u_0 as they are (by default) defined as functions within the set of Natural numbers {0,1,2,...}. In others though sequences are more often defined over the set if positive integers {1,2,3,...}, which is what you came across in this tutorial. Again, thanks for taking the time to comment, I truly do appreciate it 😊 Take good care ✌️
@@RadfordMathematics I did not know that the start of sequences are can vary by country, I thought this would be the same everywhere :D Anyways, thank you for letting me know and take care too!
OKAY WHAT THIS WORKED WELL FOR ME AHHHHHHHHHH THANK YOU SO MUCH FOR THIS VIDEO!!!!
I spent hours trying to figure this out, but this video helped me a lot!!! Thanks again!
I’m so glad to hear/read it helped :)
Thanks for your happy/positive words!
The tutorial and notes (with worksheets) on this topic may also help:
www.radfordmathematics.com/algebra/sequences-series/difference-method-sequences/quadratic-sequences.html
Take care Dani!
@@RadfordMathematics
Although I have one question if you don't mind asking...
I understand when u said that example how 2a= the second difference, 3a+b= The second term minus the first term and so on,
But what does a,b and c stand for respectively??
a, b and c are the coefficients you need to find.
The generalized formula for a quadratic sequence is u = an^2 + bn + c, all quadratic sequences have a formula like that! The only thing that distinguishes one quadratic sequence from another are its values of a, b and c :)
So once you know that you’re dealing with a quadratic sequence you know that it’s formula looks like u = an^2 + bn + c, all you have to do is find its values of a, b and c.
Thank you, it was really clear and i didnt get confused in any part of the whole explanation and whole video, this was a big help.
This really helped me to understand finding the nth term of a quadratic sequence. It is one of the best videos out there on the subject, thank you so much.
You are the first person to make me understand after watching so many videos. May you be blessed!!!
Thanks!! I’m really glad it helped 😊
THANK YOU!!! I was pouring over a math problem for hours and feeling so frustrated, then I watched this video, plugged my numbers in, and there it was, so grateful.
Thank you for such a kind message Lilba :)
Really glad to hear/read that it helps!!!
If you want some extra practice you can see some questions (don’t worry it’s completely free) on my site:
www.radfordmathematics.com/algebra/sequences-series/difference-method-sequences/quadratic-sequences.html
Thanks a lot... Went through many videos but never understood it until I watched your video
Hi Jack,
thank you for the kind words, I'm really glad to hear it helped :)
If you want you can also practice this topic (with the tutorial) on my site that goes with it.
Here's the link:
www.radfordmathematics.com/algebra/sequences-series/difference-method-sequences/quadratic-sequences.html
Wishing you all the best,
John Radford.
This is 10x easier then the method my teacher taught me, thank you!!
I have an exam in like 2 Hrs and I have to go to school and write it! I asked one of my friends to help me out with this particular sequence but he was just as confused as me lol. But I am actually glad that I found this video. Thank you so much for the hard work you put into it and to be honest your doing a great job! You are doing amazing and please keep going. Thank you :)
Thank you, you have explained this in such simple terms, I truly appreciate your help
Thanks for your kind comment 😊 truly glad it helps ✌️
AWESOME!!!! THANK YOU!!! The best explanation I saw. I spent 3hrs trying to help my son's 7th grade homework. This is such a great video and a relief. Good Karma and Great blessings to you. Subscribed!
Thanks for the kind comment AuAg!!! Truly glad this video helped you and your son 😊
Take good care 🌱
Thank YOU SO MUCH!!!!!!!
I WAS SEARCHING FOR AN IDEAL FORMULA FOR THE PAST 6 HRS!!!!
Some Videos were fooling me by giving ineffective Formulae!!!!
Thanks Genious Ranford
Thanks for your comment 😊
Really glad it helps!
Take good care ✌️
thank you so much!!! this is easier to understand than most videos I've watched
Thanks Aorm! I’m really glad it helped 😊
This was such a massive help. Outstanding explanation; thank you!
Thank you so much Mr.radford mathematics!!!!!111This video has helped me with my O levels😂😂😂
Thanks for your message Yoshikage :) I’m really glad to hear/read it helped 😁
If ever you want practice exercises... you’ll find some on my site. Here’s the page on quadratic sequences :
www.radfordmathematics.com/algebra/sequences-series/difference-method-sequences/quadratic-sequences.html
Hope it helps 😁
Take care!
Amazing explanation. Thank you so much John.
Thank you so much Mr. Radford this really helped me and i know i understand this for good.
Thanks for taking the time to comment, I really appreciate it!!
Truly glad it helped Msryam 😊.
Take good care ✌️
This Video helped me so much !! Thank YOUU
+Leute Heute I’m really glad it helped :)
Working on adding quite a few new tutorial and webpages these days, don’t hesitate to follow RadfordMathematics.com on Facebook to stay posted :)
See you soon!
+Leute Heute you can also check out plenty of practice of quadratic sequences on our site (remember we’re still in the process of adding all the pages...)
www.radfordmathematics.com/algebra/sequences-series/difference-method-sequences/quadratic-sequences.html
Very well explained. Easy to understand.
Thanks for your comment!
I’m really glad this video helped 😊
This helped a lot mate, thank you
u def explained wayyy better than my maths teahcer
Thanks for taking the time to comment Toba! And thanks for your kind words 😊
Maybe your teacher was just having a bad day... happens to all of us at times 😊
Truly glad this helped!
Wishing you all the best!
Take good care ✌️
This saved my life
thank you thank you thank you!!!! , the clearest and simplest video I saw for quadratic equation as i was extremely struggling with it and your video helped me alot, you are a great teacher and i am very very happy that i knew about your channel
Hi Basma!
Thank you for such kind words!!! :)
I am very glad the tutorial helped!
If you want some extra practice, on quadratic sequences, don’t hesitate to visit the page on my site that goes with this tutorial. The link:
www.radfordmathematics.com/algebra/sequences-series/difference-method-sequences/quadratic-sequences.html
Again thank you for the message!
Wishing you all the best,
John Radford.
It helped me a lot in my maths exam
That’s awesome! Thanks for your comment!
I’m really glad it helped 😊
Thank you so much... You're a lifesaver. 🥰❤️
Man thank you so much... I owe you indeed
You're a lifesaver!
This is so helpful!! Thank you so so so much!!
why 2a= second difference
a+b+c= first term and so on? please explain on this
Thanks so much for this video, I’m glad your video’s the first one I found. I just have one question; how did we come up with the 3 equations that you provided us? Thank you so much!! Good luck to everyone revising!
I have the same question. Did you get the answer after these 4 months?
There is another way to do it with simultaneous equations I think and that’s how we know this
this videos is life saver
Really glad it helped Aryan!
Thanks for the comment 😊
great video, very helpful!!!
Thanks for your comment Chahak!
Really glad this video helped 😊
Take good care ✌️
AMAZING EXPLANATION!!! TYSM!!!
I'm really glad to hear/read it helped :)
Should you need it you can also find this tutorial alongside practice exercises and their solutions on my site:
www.radfordmathematics.com/algebra/sequences-series/difference-method-sequences/quadratic-sequences.html
(it's still being built... But it's getting there :) )
Wishing you all the very best!
John Radford.
Ohhh thanks man.you had help in wonder way.again thank you for your service.
Super Clear and helpful. Thanks
Thanks Clement! Really glad it helped ✌️
Does this work when the second difference is negative?
Hello Alejandro! Yes it certainly does :)
If it helps, you can see some practice questions (with answer keys) here:
www.radfordmathematics.com/algebra/sequences-series/difference-method-sequences/quadratic-sequences.html
Wishing you all the best,
John Radford.
YOU ARE GODLIKE, THANK YOU!
That formula is so straightforward
Sir i thank you so much for this because i cant understande my maths sir because is english is little weak thank you sir
finally i understand, thx a lot
Hi Sam!
I’m so glad it helped :)
If ever you want some practice questions, I’ve added some to my site:
www.radfordmathematics.com/algebra/sequences-series/difference-method-sequences/quadratic-sequences.html
Maybe it could help even more :)
All the best,
John Radford
Thank u so muchhhhhhhhhhhh....I was struggling😪🥰🥰🤭
You saved me 🙏 thank you
Hi Peter! I'm really glad to hear it helped :) if you want some more practice with notes, tutorials and exercises on this topic check out my site:
www.radfordmathematics.com/algebra/sequences-series/difference-method-sequences/quadratic-sequences.html
Hope it helps :)
You are best of the best🥰🥰🥰
Awesome videos!
Now what if the differences have a geometric sequence i.e. the difference between each terms is multiplied a constant value.
It would be a great help.
This is so helpful thank you so much
Thanks, this helped a lot
I'm curious. Do you know how these equations are derived?
Me too
Is there a shortcht to this? I noticed that C is always equal to the 0th term. Much like in arithmetic sequence
Good explanation, but would have been good to show how the three equations were derived.
Thanks for your comment! 😊
And I agree! I’m working on making a good video on explaining the “difference method” and the derivation of the various formula it leads to… .
Take care ✌️
does this method applicable for higher differences?
Hi Joshua, good question! The answer is « yes » the difference method works for higher powers (such as cubic, quartic, quintic sequences...).
In fact you’ll find the link to the difference method for cubic sequences right here:
Cubic Sequences - How to find the formula for the n-th term ruclips.net/video/gIT0YXO1XFY/видео.html
Hope that helps :)
Does no one else listening to this guy with epic Minecraft soundtracks on is well...
EPIC!!
where the number 3 in the equation. " 3a + b = U² - U¹ " came from?
omg thank you so much!!!!😭💖
a great help thanks
Really glad it helps :)
Sorry initially tapped the « thumbs down » by mistake :)
If you’d like to practice even more, you’ll find my online notes/exercises on this topic here:
www.radfordmathematics.com/algebra/sequences-series/difference-method-sequences/quadratic-sequences.html
Hope that helps :)
All the best,
John Radford.
I have a question
Are there any tutorials on why there is an specific formula for this. I'm talking about the "red" 3:40
edit: or atleast give me what are they called (formulas)
it his own formula I guess
How do you find the value of N if you have the value of Tn?
THANK YOU. SO MUCH.
Thanks for your comment!
Truly glad this video helped 😊
@@RadfordMathematics Yes it did!! I used to have 6 mistakes in my tests learning this, now I only have 1 ever since I watch your video! You are so cool! Sending warm prayers
Well explained
THANK. YOU. SO. MUCH
Really glad it helped 😊
how about this sequence Sir, 0,10,24,56,112,190?
wow thank you so much
really glad it helped 😄
Love from india !
It is a very good video. All the other use trial and error, and I am not a fan of trial and error.
thankyou so much!!!!
thank u so much
Thanks Emmanuel 😊
Really glad this video helped!
Take good care 🌱
Thank youuuu!!!!
Thanks for your comment 😊
I’m truly glad this video helped!!
Take good care ✌️
But what if the sequence has square root?
muntik na umonte yung ads hahah
Thanks!
pls what if the sequence is 2, 9, 28, 65, 126,217
I have general formula for sum of nth term of quadratic sequence
You did a small but important mistake, u0 is the first value of the sequence and not u1. :)
Thanks for taking the time to write your comment Ins4rt_Username (not a simple name to type there) 😊 I truly appreciate it.
In fact you can choose to start at u_0 or u_1.
It doesn’t actually matter provided you make a choice.
In many countries (such as France) sequences always start with u_0 as they are (by default) defined as functions within the set of Natural numbers {0,1,2,...}. In others though sequences are more often defined over the set if positive integers {1,2,3,...}, which is what you came across in this tutorial.
Again, thanks for taking the time to comment, I truly do appreciate it 😊
Take good care ✌️
@@RadfordMathematics I did not know that the start of sequences are can vary by country, I thought this would be the same everywhere :D Anyways, thank you for letting me know and take care too!
How about square sequence
this didn’t work for me 😔
i tested it with the first two terms, but it didn’t work after that, and i followed all the steps
Thank u so much u
Why didn't my teacher tell me about this😭😭😭
Thanks for your comment JC King! I’m sure your teacher meant well with another method 😊.
Wishing you all the best!
John Radford
math is 🗿