Learn how to find the sum of an arithmetic series

👉 Learn how to find the partial sum of an arithmetic series. A series is the sum of the terms of a sequence. An arithmetic series is the sum of the terms of an arithmetic sequence. The formula for the sum of n terms of an arithmetic sequence is given by Sn = n/2 [2a + (n - 1)d], where a is the first term, n is the term number and d is the common difference. Where the last term is known, we can use Sn = n/2 (a + l) where l is the last term.
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Organized Videos:
✅Series
• Series
✅Series | Learn About
• Series | Learn About
✅Find the Sum of the Arithmetic Series
• Find the Sum of the Ar...
✅Find the Sum of the Geometric Series
• Find the Sum of the Ge...
✅Write the Rule of the Geometric Series
• Write the Rule of the ...
✅Find the Sum of a Series
• Find the Sum of a Series
✅Write the Rule of the Series
• Write the Rule of the ...
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[@Elitea20]

Damn jaden out them knees down

[@ashermanhard502]

Jaden gotta chill

[@suongt1201]

fr

[@abdikaadirnasir]

Jaden finished high-school by now

[@halilturk9948]

Jaden chill with the knees my mans tryna teach

[@grabsmicug7622]

if jaden was studying here in the philippines he would've found himself in the guidance office

[@Regular_guy]

y e s

[@Kinobambino]

You are a fantastic teacher. I also have a great math teacher. But its different when you have to be in class vs when you seek out help at home on your own and are able to pause and replay at will. I'm really getting this. Thankyou.

[@yoonjaywon]

bro literally watching this while answering an online exam unbelievable fr.....and jaden got me laughing like 😭😭 tf man. thsi made me feel like im back in actual classes again

[@Elitea20]

Honestly, I wish you were my maths teacher. I think I am now ready for my exam.

[@kookmnstr1743]

0:00 that sound lol

[@edisonrui6281]

after being stuck on this question for hours, i found this video and it helped a lot. cheers!!

[@jackmechemarchives9327]

If only my math teachers would be as good and exited about teaching as you. You make people exited about math (with the exception of Jaden), something that every high school math teacher I've had has failed to do.

[@aryan-gg8sf]

End of the video 7:07 Girl: “why would you put 15 for “a”of 8” Teacher “ight imma headout”

[@exodusxp8094]

she has to be trollin

[@christophersennes5097]

Damn it Jaden!! All the kids in this mans class are famous now I swear. Jaden appreciates the name drop! lmao

[@jaimeejulayco2386]

CAN I HAVE A TEACHER LIKE HIM PLEASE.

[@DanT-iu6oc]

Amazing. I understand everything and you presented it so clearly. You're awesome.

[@clauo000weii7]

Can we teachers this less terrifying and approachable here in asia seriously having more anxiety attacks being called to do board work than the enthusiasm to learn :') Thank for this demonstration its really helping me!🙏✨🖖

[@fuegorae7372]

These videos help me so much as a senior in highschool trying to get through pre call. Thank you

[@k.jvincy4959]

Thank you. This video make me clear about arthemetic sequence

[@1hab]

0:28 when he said “a series” my phone thought I said hey Siri

[@TheMasterCaster]

SAME

[@sophias83]

If you were my math teacher, id be passing. Such a great teacher. 👍🏻

[@willybilly6352]

Wow thank you Mr. mclogan, this was very helpful. I was late just like Amira🙃

[@SharkyShocker]

Was kind of just daydreaming about math and came up with my own equation. Wanted to see if it was the same and was normal and was pleasantly surprised to see that there's a much easier solution for it. y = x((0.5x)+0.5) will give you a sequence starting at 1, where x is the highest number. Technically if the starting sum isn't 1, you can just the above formula for the highest number, minus the above formula for the lowest number - 1. ex) Sequence from 7 to 20 20((0.5(20))+0.5) - 6((0.5(6))+0.5) = 20(10.5) - 6(3.5) = 189 Or for a simpler example, a sequence of 4 to 6 6((0.5(6))+0.5) - 3((0.5(3))+0.5) = 6(3.5) - 3(2) = 15 They're probably based off one another in that n = total integers = last integer - first integer + 1 Then because it's assumed that the first integer is 1, we get last integer - 1 + 1 = last integer Which turns the arithmetic series in the video into (last integer/2)(1 + last integer) = (1/2)(last integer)(1 + last integer) = last integer(0.5 + last integer/2) And that brings us back to the formula I used, which was x((0.5x)+0.5) Math is weird. Thank you for the video!

[@aureliaguns8426]

You lost me at “just daydreaming” haha

[@dagursteinarsson7129]

This helped so much, cheers!

[@brianmclogan]

happy to help!

[@Blkandsapphicreads]

me when i think i understand something in class: whoa... nevermind

[@qasss577]

thank youuu sir this help me a lot and ur student are hilarious 😂

[@mydhezvlogchannel6988]

The explanation is perfect👏nice one sir😍

[@player13ph4]

7yrs jaden still puts his knees on the table 😂

[@monsieru]

jayden will forever be known on the internet as the kid who couldnt put his knees under his desk.

[@noahwhite6059]

very helpful you cleared up so much thank you sir

[@josephkasai9794]

Which reference book can I go to for further studying and examples

[@shi1590]

Thank you so much sir 😄

[@JamesBrodski]

Great video! Thank you so much.

[@SlippyDaSquid]

Thank you SOOOO much!

[@g-andreiababa2119]

Aint series suposed to have plus between each terms and it refers to the sum? And sequence is what u did in the video?

[@tripleswag1]

Jaden got ATTACKED

[@cylgam]

Helpful💕

[@zeilz61]

what if you dont have an ellipsis? for example you are given 5+8+11+14+17+20= and you are asked to find each sum of each arithmetic series?

[@mist_synxmc930]

This guy saved my life for the test i had today

[@yooowyo4936]

how can I find the sum of the following terms if the given is in explicit formula?

[@RyanStanberry]

Next time someone asks “when will I use this in real life?” Be like, ‘when you play Magic The Gathering!’ Was play testing my deck and was trying to do this exact example except a1=9. Thanks for the video. Try turning the gain down on your mic though. It’s pretty clipped.

[@brianmclogan]

haha yes! you are very welcome! yep old mic

[@jaywave91]

THANK YOU SO MUCH!

[@brianmclogan]

you are very welcome!

[@sachastokkink4588]

on god i wish i had this teacher. 👏

[@stopthecap5269]

How did you put -1 on the other side arent you supposed to add it by 1 on the other side to get rid of it?

[@user-arham]

Thank you sir

[@akashmech6537]

Good teaching, thanks

[@brianmclogan]

you are very welcome!

[@andreasellinas5767]

Super useful

[@roseb2105]

to clarify is a sub the value of sum term number of the sequence but we dont know how many terms there are or of which number in the sequence the 15 is

[@gabrielxirexbmeneses4571]

thank you

[@juliebeemalaki225]

Watching this while my teacher is teaching the same lesson virtually

[@ameyaparanjpe6179]

Also, n(2a1 + (n-1)d) 2

[@brianmclogan]

thanks for sharing

[@Elitea20]

Wait I thought the formula was n/2 (2a + (n-1) d) ?

[@nobuzee2408]

This formula is basically the same however you wont hae to do what he was doing finding the (n)

[@kenhurri5129]

He use the Formula Sn = n/2 (A1 + An) because the last term is given A8 = 15 When you use the Formula Sn = n/2 [2A1 + (n - 1) d] it means there's no last terms that given...

[@davidoregan_]

Bruh 3:16

[@kenhurri5129]

Here's my own idea that how to find the nth term of 15... Given: An = 15 A1 = 8 d = 1 n = ? Formula: An = A1 + d (n - 1) Solving: An = A1 + d (n - 1) 15 = 8 + 1 (n - 1) 15 = 8 + 1n - 1 15 = 8 - 1 + 1n 15 = 7 + 1n 15 - 7 = 1n 8/1 = 1n/1 8 = n ✔

[@renz2k]

ngl you look like a cool teacher

[@amitavadasgupta6985]

Sum=4*(8+15)=4*23=92ans=8*23/2=4×23=92

[@DIZIZNOTAMOON_LOOKCLOSELY]

wanna know what grade this class is

[@justinpolicarpio4834]

This is the best teacher I ever seen thanks for sharing lessons.

[@amitavadasgupta6985]

15-7=8. Sum=4×(8+15)=92

[@ruri9758]

my math teacher sucks, thanks for the tips

[@geraldespinosa7888]

this one has a shortcut right?

[@brianmclogan]

ummm not sure about another method rather than just adding them up

[@fatgoat1343]

that sound tho 0:00

[@grizzlegaming7279]

Ingna jayden sumbagay mi

[@kristinejoydiansay8991]

Jaden anuba

[@ahplayz9137]

Lool still don't understand. It's not your teaching its my brain LMAO...

[@Haze_in-bw7ff]

#Jadenslifematters

[@jacky5987]

4:10 is that kid ok....

[@Algebrainiac]

Ikr

[@sheebasheebarg6879]

👌👌👌👏👏👏😎😎

[@lovemoveschannel5453]

> how to solve this problem ? 6X6X6 please help

[@xxxxxx-dc1ti]

Lol 216

[@amitavadasgupta6985]

S=120-28=92ans

[@amitavadasgupta6985]

Sum=4×23=92

[@swagsuga1947]

Hi! I am currently in math 9 (BC curriculum) and my math teacher allowed me to move forward in math 10 (what you’re teaching right now). The problem is, he doesn’t teach me anymore. I learn everything by myself and I take the test whenever I am ready. Although this might sound nice, I don’t have anyone to help me on my questions. This video really helped me, it’s hard to learn things with a textbook and no one to teach you

[@brianmclogan]

So sorry to hear, I am working multiple different types of problems at the moment

[@rodrigoosuna3736]

F for Jaden

[@juvymaureal3601]

how to solve this one sir.. the sum of the first 19 terms of the sequence 6,11,16.....

[@brianmclogan]

sorry I am just able to focus on what i am currently teaching

[@n1sha.ace33]

969, late reply though

[@minzungopa]

Isn't it 712.5

[@janusmallari1447]

Just using the an=a1+(n-1)d substitute the difference is 5 a19=6+(19-1)5 a19=6+(18)5 a19=6+80 a19=86 a19 = 86 19. 19 a=4.53

[@7hescary522]

Sn=n/2(2(a)+(n-1)(8d)) Sn=19/2(2(6)+(19-1)(5) =969

[@googleuser7945]

Jason is such a pain lol

[@lukelarson5355]

wOaH... nevermind

[@exodusxp8094]

these kids dont deserve that teacher. Wow im old now..

[@brightandrosie1543]

Is it jus me who thinks the teacher is friggin scary?

[@Salamanca-joro]

This is not aritmetic series rather its arithmetic sequence, any one agrees with me ?

[@Bella-zf6nl]

Freaking jaden man 🙄

[@brianmclogan]

Haha

[@esr_trail]

Sorry

[@Nat-gh2tt]

This is why GOOD teachers are so hard to come by. It takes the patience of a zen master to deal with kids today. This is a 7 minute video and he had to tell one kid to put his knees under his desk 3 fucking times, tell another to write down the information, and then answer a dumb question from a girl who clearly wasn't paying attention. Imagine having to do this for 8 hours a day for 8-9 months out of the year. I couldn't do it.

[@higgamcjigga8340]

I disagree, as a college student I have found that high school and college teaching styles to be completely different. all the good teachers are college professors not school teachers. college professors don't care how you are sitting or what you're doing in class as long as you aren't disturbing the class. they will also answer questions without belittling students. college professors honestly like teaching, school teachers are the rejects, that is why "good teachers" are hard to find.

[@esr_trail]

What the fuck

[@esr_trail]

Sorry