I've been struggling with this for a full year! Thanks so much this finally makes sense!

@MathsWithJay

3 жыл бұрын

You are so welcome!

Thaaaankkk youuu I was definitely going to fail this test thx for this explanation

@MathsWithJay

4 жыл бұрын

@Krishna Pol: Thank you! Hope your test went well!

Thanks I need this for my GCSE

@MathsWithJay

4 жыл бұрын

@Blue Buddy: Thank you!

@pawelpow

4 жыл бұрын

@@MathsWithJay Thanks. I needed this.... not really I'm in Year 8...

@oliverstone1290

4 жыл бұрын

Not anymore

@thenormalkid3781

2 жыл бұрын

@@pawelpow same but your not

@beracahumoru5199

Жыл бұрын

Same here..

this helped me impress my maths teacher ty so much

@MathsWithJay

5 жыл бұрын

@navin navin: That's great! Thank you!

The explanation was terrific! Wonderful Job Frau Jay!

@MathsWithJay

3 жыл бұрын

My pleasure 😊

This was so confusing to me, you made it so easy to understand, thanks for making this

@MathsWithJay

Жыл бұрын

You're welcome!

helped a lot im doing IGCSE extended maths and this really did help, thank you :)

@MathsWithJay

2 жыл бұрын

You're very welcome!

@poplil3934

2 жыл бұрын

@@MathsWithJay Hello, i wanted to ask, why went finding the an, we needed to divide the 16 by 2. pls and thank you. Edit: an^2

@hirokazuma8979

2 жыл бұрын

@@poplil3934 we apparently need to divide by 2 every time

Thank you for sharing your knowledge! Are there similar methods to find higher degree series as well?

@MathsWithJay

3 жыл бұрын

Yes, there are.

Best explanation and step by step working of topic Thanks

@MathsWithJay

3 жыл бұрын

You are welcome

u slayed fr fr

@MathsWithJay

Жыл бұрын

yw

Why is it -8 I am so confused it was positive 8 before

@MathsWithJay

5 жыл бұрын

@Davey: We have found the first part of the formula is 8n^2, so we can subtract that to leave the rest which will be linear. Looking at a simpler example: 3, 8, 15, 24,...The differences go up in 2's, so we know that the formula starts with n^2, so we subtract 1, 4, 9, 16 respectively to leave 2, 4, 6, 8 and can see that the linear formula for these numbers is 2n. So now we can put the two formulas together to get n^2 + 2n

@lowlandplum5569

3 жыл бұрын

@@MathsWithJay i still dont get how this makes it a minus

awesome your the best math like rananjum

@MathsWithJay

5 жыл бұрын

@Anirudh: Thank you!

Great vid. Thx for the help.

@MathsWithJay

4 жыл бұрын

@MatZio Addo: Thank you!

aa tysm! greatly appreciated :)

@MathsWithJay

2 жыл бұрын

Glad it helped!

I must be unteachable when you put 8n² in the table and got -32 I was like how

@MathsWithJay

3 жыл бұрын

8x2x2

Thank you do much i didnt learned anything at all but dont worry im subscribe and i like you because all your other vedios helped me and you helped makr my teacher proud by me

@MathsWithJay

3 жыл бұрын

Do you have a question about this video?

4:54 , it doesn't mean you've gone wrong, it just shows that there isn't a bn , so the equation would be an^2+c. I have come across a question where the answer is a quadratic but is in the form of n^2+c instead of n^2+bn+c

@MathsWithJay

2 жыл бұрын

Yes, you're right - that is another possibility

This helped me a lot thanks!!!

@MathsWithJay

4 жыл бұрын

Glad it helped!

This is the second time I am watching this vid and it is still helpful

@MathsWithJay

3 жыл бұрын

You may like to look at this: kzread.info/dash/bejne/Z52Ao6mcqpe8ls4.html

Got a sequence that involves n^3 and took me 4 difference of sum to get same ones... how would I convert the amount of times it takes to get a common difference to the power that I am looking for?

@MathsWithJay

3 жыл бұрын

It should be 3 rows of differences to get n^3

@richardcao7390

3 жыл бұрын

Maths with Jay why do u divide it by 6 when it's 3, and divide by 2 when it's 2? what about n^4 ._.

@MathsWithJay

3 жыл бұрын

Maybe you will be able to work out the pattern....just try the simplest sequence of powers of 4: 1, 16, 81, 256, 625, 1296, and what is the 4th difference? Then the pattern should emerge...

Hello I love 💓 you’re explanation Tysm

@MathsWithJay

4 жыл бұрын

@Afsana Rahman: You’re welcome 😊

does it have to be divide by 2 each time? or is that only for this specific quadratic equation?

@MathsWithJay

3 жыл бұрын

You could try it yourself: what happens with the simplest example: 1, 4, 9, 16, 25,...What are the second differences? Then try multiplying up by an integer, say 10, so you get 10, 40, 90, 160, 250,...What are the second differences? Can you answer your question?

@shafay3262

3 жыл бұрын

@@MathsWithJay Thanks! This video really helped me with my school homework.

Thank you very much Jay

@MathsWithJay

2 жыл бұрын

You are very welcome

watching this one night before igcse maths exam cuz none of my teachers helped... thank you for saving my life 🙏

@MathsWithJay

Жыл бұрын

Good luck!

what if when you find the an^2 it becomes negative automatically, like -8n^2, Then is it 8n^2?

@MathsWithJay

4 жыл бұрын

@Hari: Why would you change the sign from negative to positive?

@LinkNS

4 жыл бұрын

i mean if that happened then you would have --8n^2 so it would become positive. but im not 100% sure

@sonalhattangadi2486

2 жыл бұрын

It doesn’t become minus, the sign was there just to signify that it is being subtracted from the other sequence

Best video on the topic!

@MathsWithJay

2 жыл бұрын

Wow! Thank you!

Thank you, helped me do my homework correctly 🎉

@MathsWithJay

Жыл бұрын

That's great!

you deserve a LIKE :D

@MathsWithJay

4 жыл бұрын

Thanks, Yasser! 😁

Hi, how do i determine which term has the value given to me using the formula?

@MathsWithJay

2 жыл бұрын

Solve it as an equation

What if the difference you get (when finding bn+c),is different ?

@MathsWithJay

4 жыл бұрын

@Nadir Sajid: What is your sequence?

Great vid my brudda

@MathsWithJay

5 жыл бұрын

@Joe: Thank you!

@maineroad7290

3 жыл бұрын

my brudda

Thank you so much I need this to finish my homework

@MathsWithJay

2 жыл бұрын

Glad I could help!

Interesting

@MathsWithJay

6 жыл бұрын

Thank you!

@2:32, why do we divide it by 2??

@MathsWithJay

3 жыл бұрын

Look at the simplest quadratic sequence, the square numbers: 1, 4, 9, 16, 25,... and work out the second differences....what do you get?

Good Job thanks for you kind help and tutorial Keep it Up !😉

@MathsWithJay

6 жыл бұрын

Thank you!

Thank u so much.

@MathsWithJay

2 жыл бұрын

You're most welcome

Thank you so much ♥️

@MathsWithJay

3 жыл бұрын

You’re welcome 😊

Why do you do minus 8 instead of positive 8 for 8n^2???

@MathsWithJay

4 жыл бұрын

At what time in the video?

Do we always have divide by 2 or does it change?🤔

@MathsWithJay

3 жыл бұрын

Always 2

tomorrow i have maths exam and this topic was left out ....thanks

@MathsWithJay

3 жыл бұрын

Most welcome 😊

I got -2 and +3 would that also be right?

@MathsWithJay

4 жыл бұрын

@Annika: -2 and 3 for what?

I don’t get where you got + 2 from

@MathsWithJay

4 жыл бұрын

At what time in the video?

Why do we make it 3n from 8n and how?

@MathsWithJay

3 жыл бұрын

At what time in the video?

thank you !

@MathsWithJay

2 ай бұрын

You're welcome!

ty bro

@MathsWithJay

2 жыл бұрын

welcome!

Right I’ve done this for like 2 hours on the same question pretty sure I’m doing something stupid what’s the nth term for to 1, 3, 6, 10, 15, 21

@MathsWithJay

3 жыл бұрын

This method will work....have you worked out the first stage yet?

im subbing.

@MathsWithJay

3 жыл бұрын

Thank you

Thank you so mutch

@MathsWithJay

3 жыл бұрын

You are welcome

Thanks a lot!!! It is really really helping me! God bless you!! 😇😇

@MathsWithJay

4 жыл бұрын

@Alhamdulillah: Thank you!

I can't understand at the end that is( +2) concept .plss mam reply me

@MathsWithJay

3 жыл бұрын

At what time in the video?

@chandrababuhansda54

3 жыл бұрын

@@MathsWithJay at 5:36, i mean c=2 is come from where

@MathsWithJay

3 жыл бұрын

-1+3=2 See kzread.info/dash/bejne/qKqV26mlo8_IqZM.html

What if you don't have the first 4 but instead the 2nd 3rd and 5th term only

@MathsWithJay

4 жыл бұрын

@Ross: Have you been told what kind of sequence it is? (Linear, quadratic, ...)

@trulyross_

4 жыл бұрын

@@MathsWithJayit's quadratic but don't worry i managed to solve it but thanks!

what if the diffrence of the diffrence is 0

@MathsWithJay

4 жыл бұрын

@Hari 0: Which difference? The first or second?

What do you do when the differences are not the same? Plz help

@MathsWithJay

4 жыл бұрын

Can you give an example?

@K.DOT11

4 жыл бұрын

@@MathsWithJay I think it's known as a cubic sequence

@MathsWithJay

4 жыл бұрын

Do the third set of differences come out to be the same as each other?

@K.DOT11

4 жыл бұрын

@@MathsWithJay yes they do

@MathsWithJay

4 жыл бұрын

Then start by dividing the common difference by 6, that will give you the coefficient of the cubed term

If you had to find the differences 4 times before they converge, would that mean the answer should be in the form an^4 + bn^3 + cn^2 + dn + e or should it just be an^2 + bn + c? The sequence is 1, 3 ,12, 39, 120, 316, ... which makes the differences 2, 9, 27, 81, 196 and then 7, 18, 54, 115 then 11, 36, 61 then 25, 25 If it should be the first option, do I just repeat the steps again and again or is there another way to do this?

@MathsWithJay

4 жыл бұрын

Kieran, it's the first option. You could find the coefficient of n^4 first and so on.

Thanks

@MathsWithJay

4 жыл бұрын

@The Real Bleach: Thank you!

What if 8n squared is negative

@MathsWithJay

4 жыл бұрын

@Henry: Squaring would always give a positive number.

@Yhman

4 жыл бұрын

@@MathsWithJay thanks really helpful

How did it became -3? 5:03

@MathsWithJay

3 жыл бұрын

We need to subtract 3 from -1 to get -4. See kzread.info/dash/bejne/qKqV26mlo8_IqZM.html

what if the difference is 2

@MathsWithJay

5 жыл бұрын

@Geronima: We always divide the difference by 2. So 2/2 = 1.

Pls can you help me out with 2,12,36,80.

@MathsWithJay

3 жыл бұрын

That's harder than this one....it will involve cubing, not just squaring. If you haven't looked at cubic nth term yet, try writing each number in your pattern as a product of two numbers and look at 2 patterns...

tysm

@MathsWithJay

3 жыл бұрын

You're welcome

Is there a way to find the nth term of a quadratic sequence without using that formula?

@MathsWithJay

Жыл бұрын

A method that doesn't use a formula?

@lilah5592

Жыл бұрын

Like, a way that you can just calculate it without that formula, i learned it that way in high school but i forgot it

❤

@MathsWithJay

8 ай бұрын

😍

why n=4?

@MathsWithJay

2 жыл бұрын

At what time in the video?

@amaniceh

2 жыл бұрын

@@MathsWithJay 5:50, i mean, why do we choose 4 of all numbers?

Why do you divide 16 by 2

@MathsWithJay

5 жыл бұрын

@David: At what time in the video?

@davidthomas4394

5 жыл бұрын

2:36

@MathsWithJay

5 жыл бұрын

@David: Think about the sequence of square numbers: 1, 4, 9, 16, 25,... The differences are 3, 5, 7, 9,... And the differences between the differences are 2...so we divide by 2 to get the number to multiply n^2

@davidthomas4394

5 жыл бұрын

@@MathsWithJay Oh thanks

Why is it plus 2

@MathsWithJay

3 жыл бұрын

At what time in the video?

@joshreyes6158

3 жыл бұрын

5:30

@MathsWithJay

3 жыл бұрын

That part is looking at a linear sequence like: kzread.info/dash/bejne/qKqV26mlo8_IqZM.html

My exam is tomorrow 😭

@MathsWithJay

3 жыл бұрын

Hope it went well

@ismaeelrafiq8028

3 жыл бұрын

@@MathsWithJay it did thankfully 😅

@amanvirgrewal4861

2 жыл бұрын

same :' )

im vegan btw, very cool!

@MathsWithJay

5 жыл бұрын

Does that help you to find the nth term?

@babua077

4 жыл бұрын

Loooll

@nadirsajid448

4 жыл бұрын

lol