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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[@TheOrganicChemistryTutor]

Final Exams and Video Playlists: www.video-tutor.net/ Arithmetic Sequences: kzbin.info/www/bejne/o6moenmFbduLgbs Geometric Sequences: kzbin.info/www/bejne/sHuoiJavqKaWapY

[@darryltang3999]

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

[@Chipi_Chipi_Chapa_Chapa77]

😹

[@mercyjelimo9136]

Making your life easier lol😂

[@johnboyle4161]

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

[@Ismailbulle88]

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

[@user-xi5sp1nf4o]

You have no idea how much I needed this🙏

[@arjangap2551]

Very useful. Thank you for making this video.

[@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

[@1inspector]

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

[@kemertube8826]

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

[@NazrawiSerawit]

Thank you! It's really beautiful.

[@DanielChen-ie5mu]

bro i love this guy

[@Carrymejane]

Are u gay

[@user-mu6ts7kr2w]

Thanks you are first teacher really 👐👐

[@harmlesspikachu9038]

I like what you are doing here!!!!

[@stephanzoes8010]

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.

[@kendalljana3275]

Same! Everything was backwards and confusing in the formula book

[@varun3282]

Thanks for the explanation

[@atharvchaudhary1625]

Useful content 👌

[@hirendraavenkatachalpathy8528]

Most Needed for all... Headings

[@sohumsharma2892]

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

[@mumbitsuma452]

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

[@SuongThol]

Thanks for this video

[@magnacrushersart572]

I thank you for your videos

[@akirakenchieedquiban531]

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

[@sophiedavidson1579]

You are my savior 😭

[@geniciaross3791]

Thank you 😊

[@sidpenalver7602]

you just saved my grade bruh

[@satk4211]

You are amazing 🤩!,,,

[@Carrymejane]

Woah it blows my mind

[@c.m.p2943]

Thanks a lot sir

[@user-qw4vg9lf5v]

Thank you very much. I understand now

[@leenaahmadzai6446]

Thank you soooo muchhhhh

[@Omar-Farhat]

Thanks

[@tr4976]

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

[@kacy6014]

As soon as you mentioned the average I was like omg...I can derive everything related to this with 2nd grade math lol

[@reenaznawar7004]

You, sir, are a LIFESAVER

[@riannegliocam7713]

updated 6 hours ago aaaaaa notice me please

[@lona3763]

DUDE I WAS JUST LEARNING THESE THANK YOUUUU !!!

[@Ivanho]

Bruh same

[@akirakenchieedquiban531]

Bruh i just wanted to revisit arithmetic

[@Gbsanni]

Same there

[@darienwillis7652]

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

[@coopertownsend1371]

Ok I’m scared we literally just learnt about this in math methods today and now it’s on my recommendations...

[@lilswiff470]

Nice

[@reganpiano8833]

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

[@Gbsanni]

Good

[@riannegliocam7713]

Hiiiii!!!!! my idol!!!!

[@bobbyb5710]

yeah, thanks

[@hirendraavenkatachalpathy8528]

Pls upload "how to derive formula " for all headings. *Sry bad eng

[@lachristechnologies7639]

Why is no one explaining why we add them in reverse order?

[@j3v350]

is it just me or the thumbnail looks like it spells the devils name?

[@kafulakaunda2896]

I ghat you😎

[@filoilfigo]

Why would you wanna complicate things and write the Sum formula from right to left

[@agustine1239]

this is why the education system is wrong... and props to organic chemistry teacher for explaining why and how the formula was made that interconnects with the answers

[@mohamedtrfnx6632]

Because we want to know where it came from not just mindlessly memorise and apply it which makes math unfun and not understandable

[@zahraa.qasim5]

شكلي العربية الوحيدة هنا😔😂

[@0deszuh111]

How the f did it became s6 can somebody explain

[@aashsyed1277]

1st

[@shadowf30]

Mhm, indeed.

[@babarazamsucks]

First

[@KundanSingh-ym4pw]

Hai

[@nthatisimodingoane1042]

Why should we minus

[@strpa.mp4]

Because we r considering the term from backwards, like Suppose the term is 5, 8, 11, 14 So if we consider the sequence in increasing order, is that, we wanna find the *last term* , then it will go on like this 👉 5 + 3 , 8 + 3, 11 + 3 = 8, 11, 14 But if we consider the sequence from backwards , is that, we have to find the *first term* by reversing the order (for understanding) : let's say , the sequence now goes like this 👉 14, 11, 8 , 5 ; but note that the sequence still remains in it's orginal form, i.e., (5, 8, 11, 14) as you can see, the sequence now goes like this 👉 14 - 3, 11 - 3, 8 - 3 I mean, if we reverse the order for understanding (14, 11, 8, 5) but the sequence remains still the same , i.e., (5, 8, 11, 14) and we have to find the first term 👉 ?, 8, 11, 14 , then we gotta subtract the common difference from each term to find the first term, first term 👉 5 I mean, that's why we need to subtract So in conclusion, when u have to find the last term (sequence is in increasing order) we gotta add the common difference & when we have to find the last term (sequence goes in decreasing order), we gotta subtract the common difference from each term.

[@telecommunity2181]

When used like it is here (as an adjective or noun adjunct), it's pronounced arithmEtic, not arIthmetic. The latter is when you're talking about the school subject -_-

[@richdawes66]

Right… It’s just like Geometry. The noun form (i.e. maths subject) is of course pronounced “geOmetry”, but as an adjective in English the accent gets pushed back, e.g. a “geoMEtric” sequence. Likewise you have “aRITHmetic”, the subject or activity (a noun), versus “arithMEtic” the adjective, as in an “arithMEtic sequence”. I know this adds nothing to helping people understand things, and this chemistry tutor does a great job at that. Really, kudos to him! But it will save you from sounding silly when you go to Maths parties. Really, the best thing about Maths is the parties. 😂

[@Creativelyrics769]

Thanks

[@riannegliocam7713]

updated 6 hours ago aaaaaa notice me please