Geometric Series (How to Find the Sum of a Sequence)
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- Опубликовано: 18 сен 2024
- How can you find the sum of a geometric series when you're given only the first few terms and the last one? There are two formulas, and I show you how to do it. You need to find "n" for the last term.
![Why you didn't learn tetration in school[Tetration]](http://i.ytimg.com/vi/Ea1_1aVfwl4/mqdefault.jpg)
I just have to say....I could kiss you right now. I've been going through videos all day trying to figure out out to do this and you are *literally* the first person who knows how to do this properly. Thank you *SO* much for making this. This video will literally will be the reason I graduate this year
+Asia DeBoard O my word! literally spent 4 hours looking for the formula to add Geometric series and not geometric progression :/ This guy is a legend! You doing AS levels?
+Daniel Baldegger I don't believe so? if you meant AP no I wasn't for math, I'm in college now though. c: But I totally understand trying to find the proper way of doing this was like pulling teeth. I was so stressed out and upset until I found this video
+Asia DeBoard AP? -__-
+Daniel Baldegger advanced placement. our schools must have called them something different.
Clearly ^__^ o well 10 points to @How to Do High School Math
Dude thanks so much, my pre calc teacher is an 80 year old dying woman
Is she still alive? :0
Stay Frosty lol
I AM DEAD
it's been four years is she still alive? @stay Frosty
@@YuahLee she
Bro my decrepit pre calc teacher is just speed-running our class ty so much
same dude
this made me lol
Bruh this channel can teach thw whole lesson in just 4 mins. It's so fast yet it's informative and easy to follow.
i love you and your enthusiastic approach, helps keep me awake!
I LOVE THE WAY YOU ANSWER AND EXPLAIN IT🥰 THANK YOUUUU!!!!
Oh yes, keep saying "geometric series" in my ear... I mean... Thanks for the help!
how would you find the nth term if your given the: Sum, First Term, and the Common Ratio?
Same formula. just substitute your values. I know I am two years late but ill still answer for anyone wondering
@@GootGoot :)
The fact that we're not allowed to use calculators makes me cry.
wa6 in alllowed
Extremely helpful video. Thanks man!!
This is really helpful for IB HL Math
Hey you should do a video on how to find the first term of an arithmetic series when only given a few variables such as Sn,d and n. I am having trouble figuring it out.
You use Sn=a (1-r^n/1-r) if r 1
the formula is wrong. its a(1-r^n)/1-r......the 1 and r are backwards
in the video.
@mroldridge
what do you do if it asks you to find Sn but the question only gives you tn=2(3n-1) (so t1=2 and r=3)
just what i was looking for thanks
Thank you so much!!! Saved my life!
the formula is wrong. its a(1-r^n)/1-r......the 1 and r are backwards
in the video.
Thank you for showing this. It helps me to understand IB Math SL without any difficulty. :)
Thanks helped out a lot!
Thank you so much
please explain in more detail about the calculator use to solve this problem... I tried to zoom in to see what buttons you were using but couldn't see it.
Can you plz explain how did you got 10 from 1024= 2n-1 ,we are not allowed to uae calculater in our exam, and i can't find the answer on RUclips so, plz !
Ambuj its not 2n-1 its 2^n-1 (two to the power of n-1). So how many times do you need to multiply 2 by itself to get 1024? The answer is 10 times (2 to the power of 10 = 1024) so therefore n must equal 11 because n-1=10. If you look at the original number you can see that we are doubling it each time. If you do this yourself starting with 0.01 and doubling the number each time the 11th time should give you 10.24. Now if you add all the individual numbers up they should give you 20.47. The formula is a powerful tool to help you calculate any number in this sequence & to sum up all the values including that number. Test it out yourself using a different n value in the sequence. If you calculate all the numbers in the sequence correctly and add them all up they should agree with the result you get by using the formula (only its quicker).
@@sharonjuniorchess too late he already failed
use your common sense lol
so helpful thanks!
Hey I was just wondering how to find tn when the last term is something like 3^n/9
When finding sum you will limit n to approach infinity ( if convergent series ) which will give you nth partial sum.
in case of divergent, it's not possible.
Saad Amir bro dont be sad it will be aight
Thanks!
How to do this without the use of a calculator?
+Flod Likes Why would you do such a thing? :'(
+Daniel Baldegger HAHAHA XD
Because our teacher doesn't allow us to do so. Like wtf
Thank you!
thank u sir!
I don't get the part at 2:14
Where did the "2" go? And why did the exponent take its place?
ARE YOU STUPID
don't be a dick we are assuming that 2^10=2^n-1 so if we're focusing solely on the powers it's 10=n-1 therefore n is 11
well it's not really an assumption
How did he get it to n= 11? Did he add the -1+10?
did you guys know that after 30 days of this you will have $5,368,709.12 on the 30th day if you got payed $0.01 a day and double it each day for 30 days!
WOW... Power of math.
ChemistNATE is that you?
Thanks a lot sir
Uhm hi? I see you're the newest comment so i just wanna ask how did he get the "n=11" from "10 = n-1"
Oh i get it ahahha sorry😂 im studying in advance so i got no one to teach me, I'm just reading modules
You should change your RUclips name. It would be more appealing to a large market of viewers who aren't in high school but still need to learn this stuff...
Thank you fam
Why does the formula work? I see vids working through it but none explaining why
the formula is wrong. its a(1-r^n)/1-r......the 1 and r are backwards
in the video.
Thank you~~
thank you thank you thank you
Is this considered a finite geometric series?
What if the ratio is a negative number??
Wow nvm I just over think stuff I get it
Good sir
i can't do log with negative numbers, it says error
+iiammJesus_03 Put -(log(sum)) if that makes sense?
thanks babe
Ty
2:27 How did you get n=11? 10=N-1 SO HOW IS N=11? I dont get it
Silent Killer 9 gotta move the negative 1 over to find 'n' & then it becomes a positive 1. 10+1=11
how to find the n using this formula? is it possible?
the formula is wrong. its a(1-r^n)/1-r......the 1 and r are backwards
in the video.
Hello fellow Canadian!
sky nice job
This is a good formula , but what if , my serie is : -96,48,-24,12...-3/8
Then i cant devide 3/8 by 96 to cancel it out. Please reply
an easier formula is sn= a(1-rn)/1-r
Will this Log trick work every time?
yes
@@verypython3667 it's hard to see the log trick... can you explain this in more detail?
your formula is wrong. its a(1-r^n)/1-r......your 1 and r are backwards
It doesnt matter you indian bastard
aslam ghulam 😂😂
holy shit thank u so fucking much
i love u
How did you get 2
Double double double 😂😂😂😂
lol chemist Nate, what up
your formula is different. Where did you get that formula? You ruined my exam!
let my boi out
MAGNUM DONG!
not understanding very well
I don't understand. U are using calculator 😕😂
HE'S CANADIAN!!!!!!!!!! NOOOOOOOO!!!!!
divide oot the number inside... :-)
What's wrong with us? :(
#triggered
What’s wrong with being Canadian?
not helpful
How stupid are you?
@@MegaDoc360 the formula is wrong. its a(1-r^n)/1-r......the 1 and r are backwards
in the video.
let my boi out