How To Derive The Formula For The Sum of an Arithmetic Series

This video explains how to derive the formula that gives you the sum of an arithmetic series. This video also explains the difference between an arithmetic sequence and an arithmetic series as well as identifying the common difference between terms.

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[darryltang]

my math teacher did not tell us how to get the formula but instead told us to remember the formula as is. Thank you so much for the explaination

[johnboyle]

Mistakes happen, but it’s good to catch them. Beautifully said

[Ismailbulle]

Good sir i am from somalia
i am one of your students
you are my first teacher really
long life teacher 🖐️🖐️🖐️🖐️

[Robo-Girl]

You have no idea how much I needed this🙏

[inspector]

Bruh im a new IBDP student and was so scared and confused with mai (i did not know a single thing) but now i can keep up with others so thank you deeply from my heart and wish you the best

[Doku_Kurookami]

Damn bro I need to study this for my exam and videos like this make it so much easier than how my book explains it

[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

[kemertube]

thank you so much you are helping me so much i am physics teacher ... i was forgetting math but i have a quick reference that's you thank you again

[DammeeBaqqalaBadhaadhaa]

Thanks you are first teacher really 👐👐

[sohumsharma]

I love arithmetic progressions I already know this but I still watched it

[arjangap]

Very useful. Thank you for making this video.

[NazrawiSerawit]

Thank you! It's really beautiful.

[stephanzoes]

THANK YOU I was studying and I could not understand Why they put this worked for the life of me. They did the whole explanation of how Sn =a1 +a2 and putting it the other way around but the way the book put it was super confusing thank you so much it's like a light bulb clicked in my head.

[lona]

DUDE I WAS JUST LEARNING THESE THANK YOUUUU !!!

[akirakenchieedquiban]

I needed this in 1st semester bruh 😂 I passed with a passing grade of 85 😂

[eitanchess]

just one question, what is the reason that we can add the two equations in 4:50 ?

[mumbitsuma]

Hey can you do a video on combined arithmetic and geometric progression .thx

[tr]

My teacher didnt even teach that, its just in the exam.. and everybody knew how to do it, everyone but me. Like.. *how*

[darienwillis]

If I want to write a sub n in terms of a sub 1 wouldn’t that be a1 + (n-1)d? I’m just trying to understand how you changed all the other terms in terms of the first term but not a sub n

[reganpiano]

Pronounced arithMEHtic. (Different pronunciation than when you're using it as a noun.)