The Maths Prof: Sequences nth Term (part 2)

Here I show you how to find the nth term of a QUADRATIC sequence of numbers. First I show you how to find the nth term by comparing with the sequence n². From 03:29 I show you how to find the nth term of a more difficult sequence by using three equations (see below 👇) to find the formula an²+bn+c (aka nth term).
The three equations:
2a = 2nd difference (the difference between the differences!)
3a+b = difference between 1st 2 numbers in the sequence
a+b+c = 1st number in the sequence
For PART 1 (nth terms like 3n-2) 👉 • The Maths Prof: Sequen...
For PART 3 (nth terms like 3ᴺ) 👉 • The Maths Prof: Sequen...
I hope that you find the lesson useful. Subscribe to my KZbin channel to stay up to date with new uploads and follow me on Instagram @themathsprof for more maths! :-)

[@aayushr5352]

The way you teach concepts is way beyond than I expected. Keep up the good work and you will have become more better! God bless you....

[@roychan-if7pm]

could you explain how do you discover the tricks of 2a, 3a+b, a+b+c?? I dont wannt to just remember tricks, I want to know where did they come from

[@CeleryKing]

Just noticed a notification from you! I already know how to find the nth term but I know that your way of finding it out will always be better! Thanks alot

[@jessjess1814]

You’ve really helped me revise things I haven’t in a while ready for my first maths gcse tomorrow

[@TheMathsProf]

Good luck! 😄👍

[@gunnika1037]

I have my mocks starting on Monday ur videos help me to clear my doubts 😊 Edit: do u take igcse online tutions i would love to join

[@fannysapi7232]

you are a good teacher beautiful teacher to

[@ahmedrassoul9755]

Thank you very much tomorrow I have my final exam and ur video helped alot thanks ma'am From the middle east

[@Zadhaider]

Thank you for sharing this information with us. Love you and a huge thanks ❤❤❤

[@reshmaperera1621]

Ahhh!!!!! Thank you sooo much!!! I had so much problems understanding this at school. You literally saved me!!!❤️❤️❤️😍

[@mlandvonkambule6837]

Thanks a lot mam for such content I always watch your lectures and I must say they helped me a lot on my school marks on math please keep up the good work Math Prof may God bless you Oh! and by the way I am from kingdom of Eswatini

[@TheMathsProf]

I'm so glad that the lessons have helped you. Wow Eswatini! 😍 I visited your kingdom when I was younger! ❤️

[@miraclemaxwell9988]

You're a good teacher thanks ma'am

[@thebottle391]

i love ur vids, i used to struggle in maths but bcz of u I'm always confident in my work. sometimes when I am not doing the topic u r teaching, I still watch and enjoy learning something new from u

[@TheMathsProf]

I'm so happy the lessons have helped you feel confident in maths 😄🙌

[@mathsandsciencechannel]

VERY GOOD CONTENT FROM PROFF AGAIN.

[@TheMathsProf]

Thank you 😊🙏

[@kangsola4841]

Thank you for the video mam! Hope you will do more videos in future Mam thank you mam! It helps us a lot 😊😊😊😊😊

[@magpiestudent9357]

Thank you so much. You explain things so clearly. I'd better get memorising those equations.

[@gandaghunda3655]

Do we have to memorise these 2a equations??

[@chanhthakhathpathammavong5782]

Hi..Profesor, your VDO is very useful. However, could you find the best formula to predict the next result of lottery?..Many thanks...

[@user-fm9mf5mn4b]

plz the music behind is too loud, it waked up my 👶🚼

[@anahechimhini5434]

i think you can just turn down your volume