anonymous
  • anonymous
Please help 1 - 1/4 + 1/16 – 1/64 + 1/256 – 1/1024 + 1/4096 Find the sum of the finite geometric series
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
so unnecessary to spam...
anonymous
  • anonymous
sorry
anonymous
  • anonymous
first define the geometric sequence.

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anonymous
  • anonymous
its the bottoms they all mutiply by themselves
anonymous
  • anonymous
by x4
anonymous
  • anonymous
not just 4, by negative 4 since it changes sign, correct?
anonymous
  • anonymous
see thats where I get confused
anonymous
  • anonymous
So you start with 1. You multiply by (-1/4) you get (-1/4)
anonymous
  • anonymous
then you multiply again my -1/4
anonymous
  • anonymous
so you get (1/16) since the negative multiplied by negative is a positive, correct?
anonymous
  • anonymous
Yes
anonymous
  • anonymous
So that, is what we call the "r" term in a geometric series (ie. the number we always multiply with)
anonymous
  • anonymous
ok
anonymous
  • anonymous
do you know the sum of a geometric sequence, the formula?
anonymous
  • anonymous
so to find the sum? how do I use that with the figures
anonymous
  • anonymous
No
anonymous
  • anonymous
do u mean like s with the little n
anonymous
  • anonymous
hmm... actually since your question is asking how to find the sum of the ***finite*** geometric series, you could probably add them all together
anonymous
  • anonymous
so Id get 7/ over and bottom total added?
anonymous
  • anonymous
Try again, in order to add fractions they need a common denominator...
anonymous
  • anonymous
7/ 4096...OR DO YOU MEAN LIKE 28/4096
anonymous
  • anonymous
... it's actually 3277/4096
anonymous
  • anonymous
http://www.wolframalpha.com/input/?i=1+-+1%2F4+%2B+1%2F16+%E2%80%93+1%2F64+%2B+1%2F256+%E2%80%93+1%2F1024+%2B+1%2F4096
anonymous
  • anonymous
oh...wow I like the page I will have to check that out.. thanks
anonymous
  • anonymous
you could have also used the S n thing as well to figure it out. Probably easier.

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