anonymous
  • anonymous
Will medal and fan What is the sum of the geometric sequence -4, 24, -144 . . . if there are 6 terms? -159,963 26,660 26,661 159,963
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
do 144 times neg 6 and that times neg 6 and that again times neg 6 to get all 6 terms
anonymous
  • anonymous
then add them
anonymous
  • anonymous
I did and the answer I got isn't the same as the options

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xapproachesinfinity
  • xapproachesinfinity
you mean the sum of geometric series not sequence?
anonymous
  • anonymous
No it says sequence
xapproachesinfinity
  • xapproachesinfinity
first you need to find all the 6 terms then sum up
xapproachesinfinity
  • xapproachesinfinity
you have three terms so you are missing three more to make 6 terms
xapproachesinfinity
  • xapproachesinfinity
what is the fourth term?
anonymous
  • anonymous
864, -5184, 31104 thee are the next three terms. At least that's what I got. If I add them up I don't get one of the answers they provide
xapproachesinfinity
  • xapproachesinfinity
hmm really then you must of made a mistake
xapproachesinfinity
  • xapproachesinfinity
how did you get the fourth term for example
anonymous
  • anonymous
\[-144 \times -6 = 864\]
xapproachesinfinity
  • xapproachesinfinity
yes!
xapproachesinfinity
  • xapproachesinfinity
you should get the right answer i don't where you missed
xapproachesinfinity
  • xapproachesinfinity
let's try doing the fomula \[S_n=\frac{a(1-r^n)}{(1-r)}\]
xapproachesinfinity
  • xapproachesinfinity
a=first term n=6 r=-6
xapproachesinfinity
  • xapproachesinfinity
@Tarynrachelle where you going?
anonymous
  • anonymous
I'm still here I'm doing the problem
xapproachesinfinity
  • xapproachesinfinity
well low and behold i get one of the answer choices
xapproachesinfinity
  • xapproachesinfinity
you should get the right answer once you do the calculations
anonymous
  • anonymous
The third answer?
xapproachesinfinity
  • xapproachesinfinity
and actually i get the correct answer even the method i told you in the start without formula. all of them should work since the formula came from it to begin with
xapproachesinfinity
  • xapproachesinfinity
no
anonymous
  • anonymous
Idk what I'm doing wrong then.
xapproachesinfinity
  • xapproachesinfinity
well to me they all give the same answer, something must be wrong in yur work
xapproachesinfinity
  • xapproachesinfinity
anyway you got the formula, you got the other way just see where you had missed things
xapproachesinfinity
  • xapproachesinfinity
did you do it yet?
xapproachesinfinity
  • xapproachesinfinity
use the formula
anonymous
  • anonymous
Okay well this is what I plug into the formula\[S _{n}=\frac{ 4(1-(-6)^{6}) }{ (1-(-6)) }\] am I wrong?
xapproachesinfinity
  • xapproachesinfinity
yeah
anonymous
  • anonymous
That's supposed to be a -4
xapproachesinfinity
  • xapproachesinfinity
yes -4 not 4 just about to say that
anonymous
  • anonymous
Is it still wrong even with the -4? Or is it correct with the -4?
xapproachesinfinity
  • xapproachesinfinity
it is correct with -4
anonymous
  • anonymous
Okay. Hold on I think I see where I messed up
anonymous
  • anonymous
Nope still not getting one of the answer choices..
anonymous
  • anonymous
I plug it into my calculator and get 186614. That's the same answer I get when I add them all up
anonymous
  • anonymous
Could you explain the steps for me so I know what I'm doing wrong?
xapproachesinfinity
  • xapproachesinfinity
hold a sec
xapproachesinfinity
  • xapproachesinfinity
ok back
xapproachesinfinity
  • xapproachesinfinity
how did you put it in your calc?
anonymous
  • anonymous
\[-4(1-(6)^6)\div(1-(6))\]
xapproachesinfinity
  • xapproachesinfinity
no bottom is (1-(-6))=1+6
xapproachesinfinity
  • xapproachesinfinity
where are the negatives of 6?
anonymous
  • anonymous
My calculator wasn't getting the right answer but this is it http://www.wolframalpha.com/input/?i=-4%281-%28-6%29%5E6%29%2F%281-%28-6%29%29
xapproachesinfinity
  • xapproachesinfinity
well for the top you didn;t have to worry a lot of that negative since you have an even power but bottom no
anonymous
  • anonymous
It's the second choice
xapproachesinfinity
  • xapproachesinfinity
yes!
xapproachesinfinity
  • xapproachesinfinity
i think you put the wrong format into your calc
anonymous
  • anonymous
Probably. But thank you
xapproachesinfinity
  • xapproachesinfinity
No problem

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