Derivation of the formula for the Sum of an Arithmetic Series

[@HaydenJory]

-Arithmetic sequence is a linear function
Tn=a+(n-1)d
Tn=a+dn-d
-Sum of an arithmetic sequence is a quadratic function
C equals zero
An²+bn
na+(.5n²-.5n)d
The functions intercept at T1=S1
na+(.5n²-.5n)d
(0)a+(.5(0)²-.5(0))d=S(0)=zero

[@aneesh746]

Who else likes the way he writes his 'f's??

[@soccerbels7947]

Xxdxdddd

[@lifehacksbroskiehaha848]

WHAGAAHAHHA YES LOL

[@ericsonofjohn9384]

many thanks, have a past paper for hw and this derivation just bagged me three marks, lets hope sir doesnt see this comment lol

[@ramkishor2541]

Sir you cleard my doubts tq sir

[@liamexall7073]

Thanks for this it really helped with this annoying question in my maths assignment.

[@deadricchampion6856]

Subscribed

[@זאבגלברד]

In my opinion you should show that the number in the i - th location when starting with a1 plus the number in the i - th location when starting with a(n) - this sum - is always a1 + a(n)

[@theraiseofjay3165]

This is awesome.

[@books9692]

1:15 - why do we add those two lines?
Is there any other way to find out the formula?

[@prathamsharma2562]

Just a way to reduce the number of times to write the numbers

[@vincekevinanana7814]

what happened to (a+2d) ?
4:17

[@WhiteboardMaths]

It gets paired with another term later on in the series that I hadn't written out, but the argument still works.

[@likesKaBhikhari]

a+2d + a+(n-3)d
=2a+2d+nd-3d
=2a+nd-d
=2a+(n-1)d

[@lukinamstan4523]

@@likesKaBhikhari Thanks a lot. Your comment has cleared my confusion

[@lifehacksbroskiehaha848]

@@likesKaBhikhari thankyiew this made it clearer to understand, salamat!

[@murselkhan9455]

thanks veryyyyyyyyy goooooooooood

[@jalmarsachet4831]

Bruhhhhhhhh this was so helpful

[@curiouslearner1020]

Good explanation

[@spinxo4285]

Mamatay naako hayyst ka stress

[@lifehacksbroskiehaha848]

ako rin

[@enoliaqueeny7576]

So boring
All r wrong

[@aneesh746]

There is nothing wrong with the video. It's spot on.

[@lifehacksbroskiehaha848]

bruh, nothings wrong with it did u even watch it xdd, ganda ng video