anonymous
  • anonymous
Find S8 for the geometric series 3 + -6 + 12 + -24 +…
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
-96 -255 768 192
anonymous
  • anonymous
@mathslover
mathslover
  • mathslover
What is the common ratio here choco?

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anonymous
  • anonymous
the ratiois 3 again
mathslover
  • mathslover
No. See I have , 3 + (-6) + (12) + (-24) ... 3 * -2 = -6 -6 * (-2) = 12 12 * (-2) = -24 That is each number is getting multiplied by (-2) to get the another number of the series. So common ratio here is (-2). Ok?
anonymous
  • anonymous
OK got it!
mathslover
  • mathslover
Do you know the formula for getting S_n of a geometric series (infinite) ?
mathslover
  • mathslover
^Not infinite. Its finite to 8.
anonymous
  • anonymous
no thats the problem that Im having
anonymous
  • anonymous
you there @mathslover
mathslover
  • mathslover
Yes, please wait.
anonymous
  • anonymous
ok
mathslover
  • mathslover
Formula : \(\cfrac{a(1-r^n)}{(1-r)} \)
mathslover
  • mathslover
Put r = (-2) , a = 3 and n = 8 . Solve it now.
anonymous
  • anonymous
ok
anonymous
  • anonymous
I got 257
mathslover
  • mathslover
Try it again. It must be negative .
anonymous
  • anonymous
ok -255
anonymous
  • anonymous
?
mathslover
  • mathslover
Right!
mathslover
  • mathslover
Good work.
anonymous
  • anonymous
Thank You again!
mathslover
  • mathslover
You're welcome and Best of Luck again ;)

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