Question

Find the sum of the infinite geometric series 8 + 4 + 2 + 1 +...if it exists

Answer 1

so thsi is the formula to finding the sum for infinite

n=a x 1
----
1-r
where n= ur sum
a=first term
r=ratio

Answer 2

so, a=8
r= .5
and were looking for n???

Answer 3

correct

Answer 4

im not understanding the equation, could you maybe type it in a different way

Answer 5

a x [1/(1-r)] =n

is this better?

Answer 6

a times? 1 divided by 1-r

Answer 7

a times 1 divided by 1 minus r?

Answer 8

a times the quantity of 1 divided by (1-r)

Answer 9

so it would be 8(1)/(1-.5)

Answer 10

correct

8[1/(1-.5)]
8[1/0.5]
8(2)

Answer 11

awesome, would that be the answer? or are there more steps?

Answer 12

nope thats it, so 8(2)=16

Answer 13

and some say find the sum if it exists.... what would make it not exist

Answer 14

it depends on the ratio. the sum of an infinite series only exist when the ratio is between -1 and 1

Answer 15

and say the ratio is 5... could I automatically say "does not exist"

Answer 16

well that depends on ur series or sequence. if ur looking for the 5th or 20th term, then yes it exist. but only if ur looking for infinite, then it does not exist becuase the ratio is greater tahn 1

Answer 17

okay so if it says infinit series and the ratio is 5 it does not exist... then if its a normal series that is look for S20 it will exist...

Answer 18

exactly

Answer 19

awesome thank you sooo much! You're a lifesaver.

Answer 20

no problem. glad to help. this was actually one of the easiest thing i learned last year

Answer 21

oh wow, lol its actually pretty easy once I understand it. But definitely not the easiest. lol

Answer 22

this is pretty much just plugging in numbers. im taking geometry h now and find it way harder compared to this

Answer 23

oh goodness, lol are you in high school?

Answer 24

yea. 10th grade

Answer 25

Oh my, lol you're really smart. Great talent. Im in 12th and just barely learning this, and took me some time to understand..

Answer 26

well i got to be, but im kinda falling behind myself too. and cool, that means you're going to college next year

Answer 27

PS: I think u should close this question

Answer 28

Lol, yeah this is my first semester in online classes, and im having a hard time understanding it when im just trying to read and learn, and someone not actually telling me

Answer 29

why even online school now? its ur last year of high school anyways. well im actually self teaching myself too. the teachers at my school dont really teach

Answer 30

because I had went from a huge school in the city to a really small school in the country and people were mean to me and teachers didn't want to do any more out of class or anything to help. So I just wanted to get out of that school and online class was my only other option. I kinda regret it now though..

Answer 31

oh, sorry to hear that... im still attending the biggest school in one of the biggest city in the country

Answer 32

where?

Answer 33

oh and I submitted that assignment just now and I got the last few questions you just helped me with all right! thanks

Answer 34

no problem. and USA

Answer 35

My old big school was in Houston and I know that's one of the biggest cities

Answer 36

SF

Answer 37

that's cool, well gtg ill ttyl

Answer 38

see ya!