Finding the nth term of a Quadratic Sequence - GCSE Higher Maths

Exam Question Booklets:📝

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

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[Ramimhasan-rdoc]

this is the most clear explanation i have ever watched..
Thanks a lot

[RobloxianX]

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

[JakeOfShire]

Wow! this was honestly life changing. It makes a thousand times more sense. I no longer look at this question with dread! Thank you 😅

[pluto_]

You just saved me 😭 literally writing my math exam tomorrow .. great video

[thesingingchef]

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

[Stratmaster_]

You have no idea how much this video helps before an exam!!! 😂 🫡

[danielippolito-fletcherscr]

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!

[Lafentity]

Bro thanks so much. This deserves a sub, you teach a much clearer explanation than my tutor.

[drrkwolf]

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

[staroffixial]

Thank you so much! Now im prepared for my gcses :)

[truthwins]

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😊😊

[librarysong]

Sitting here two nights before an exam, you literally saved my life

[Crukks]

how do you get the values 1, 4, 9, 16, and 25 as the square numbers

[new-qorb]

I get so confused -- how do i remember all this? i simply will forget 😔😔

[faizaax]

omg i went on like 50 websites trying to get help but this video saved mee

[GamingWithJas-ffyf]

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

[gracehathaway]

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 ❤

[basselmohamed]

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

[C.E.Ocoffee]

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 THANKYOU!!!!

[PeterMbugua-fg]

Thank u for the nice explanation. I finally undertood this!!