How to determine the sum of a infinite geometric series

👉 Learn how to find the geometric sum of a series. A series is the sum of the terms of a sequence. A geometric series is the sum of the terms of a geometric sequence. The formula for the sum of n terms of a geometric sequence is given by Sn = a[(r^n - 1)/(r - 1)], where a is the first term, n is the term number and r is the common ratio.
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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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👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: www.freemathvideos.com/about-me/
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[@lane4586]

my algebra II teacher has no idea what she’s doing, this guy has saved me soo much time, THANK YOU

[@emmalindsey6635]

I love watching your videos ! You explain things more clearly than my teacher, thanks so much ! 😊

[@landport03]

math test tomorrow and god bless you all. Thanks a lot Mr.McLogan!

[@stale.baguette]

Same

[@lukejones4245]

What if the first term isn’t n1? Do we just use that term instead of n1? Or do we find n1?

[@perlavalentin2117]

I just want you to know you have saved my grade so many times!!!

[@zandertakacs3191]

ikr dude is literally a life saver

[@bronson8x993]

thank you! this helped me a lot!

[@TopKingNZ]

0.6 recurring isn't irrational as it can be expressed as a fraction

[@vandango3908]

I got a math test yesterday, thank you so much this helped me a lot!

[@State-Of-Mind]

anyone else watching this during a math test in covid

[@michaelmurphy2578]

just about sums it up

[@mklh.m8554]

Meee

[@kingbrabante5085]

Zup?

[@JustBaileey]

During a test? Wait, how does that work? Lol

[@State-Of-Mind]

online tests lmao I wrote that during peak covid

[@lucasfell7380]

Just saved me! Awesome video!

[@christianbirkert6965]

Thanks for the video :)

[@Mackentosh_JL]

thank you a lot

[@jailynnmaiden8738]

okay so I have E then infinity sign at the top and n = 1 under, next to 6(-0.4) to the power of n -1 would the answer be 0.71??

[@sohadata2221]

THANK YOU SM

[@JoliNoelleDavid]

thank you!!

[@ilanrosenbaum626]

im confused wouldnt it be 1 because 2/3 * 3/2 =1

[@brianmclogan]

yes on the denominator but the numerator it is 3/2 *1

[@bobbysomaya6731]

See, this video massively helped me, but I just can't get over the fact that you called 2/3 an irrational number. No hate here, just pointing out one small error from mathematician to mathematician. Thank you!

[@yoyovlogs6103]

ur the best

[@user-fy6gi2vx8g]

So would you mind correcting the video? You state that 2/3 is an irrational number at 3:12

[@user-fy6gi2vx8g]

Well more like 3:11

[@applediepie2868]

That's a big deal 🙊

[@beamgod.]

if my problem is E 15(-0.2) whats my r variable?

[@brianmclogan]

not sure what your problem was

[@nightshadespectre409]

@Brian McLogan I think @XV Zay means ∞ Σ 15(-2/10)^n-1 n=1

[@coleabrahams9331]

@@nightshadespectre409 Well then r = -1/5

[@coleabrahams9331]

@@nightshadespectre409 How did you get the symbols into a KZbin comment box?

[@nightshadespectre409]

@@coleabrahams9331 Go to Settings. Go to General. Go to keyboards. Go to text replacement. Hit the +. You can then copy and paste the symbol you wish to type into “Phrase”, and type in “shortcut” what you will need to type to get the symbol.

[@tagpolice7265]

I love that "n=1 sigma((-1/2)^(n-1))" is in the video tags

[@user-fy6gi2vx8g]

2/3 is not an irrational number.

[@brianmclogan]

correct

[@applediepie2868]

Hmm

[@praneethotthi545]

Wow, thanks for giving the definition of the universe, it helped me on my math test

[@neptune8590]

2/3 is not irrational. It is rational but non terminating.

[@oliveruhlig6045]

How is 2/3 an irrational number? Really?

[@Keylan36]

oh my god why could they not just give us this formula at school? They were litterally like here you have this and you can solve so everybody happy, we get excercises, this is asked in the excercises and we're all like help omg hth am I supposed to do this?

[@batwing2046]

Literally series makes no sense to me no matter how much videos I watch

[@wristdisabledwriter2893]

You forgot to teach it has to be absolute value of r < 1 otherwise itdiverges

[@brianmclogan]

Thank you!!

[@shiv8060]

i put u on times 40x speed

[@LW-zb8bf]

2/3 is an irrational number??? No.

[@dancingtides_]

what if n>1?

[@brianmclogan]

should not matter as the series converges

[@mrlordsaif5708]

Then series will not converge and will keep getting bigger instead of smaller.

[@valentinakim9921]

whats up with bald men and teaching mathematics lov ya brian

[@valentinakim9921]

bald white men*

[@shiv8060]

screw studypug this is the stoff

[@rokbleki3929]

Ananana forever

[@coleabrahams9331]

3:11 How dare you!!!!!!!!!!!! HOW FRIKKEN DARE YOU SAY THAT 2/3 IS IRRATIONAL!!!! HOW DARE YOU!! You should be ashamed of yourself

[@thugsgamingpro4292]

U are mad