anonymous
  • anonymous
Will give a medal: Determine whether the sequence converges or diverges. If it converges, give the limit. 108, -18, 3, negative one divided by two, ... Just need an explanation on how to do these types of problems.
Mathematics
katieb
  • katieb
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IrishBoy123
  • IrishBoy123
Find the common ratio first
anonymous
  • anonymous
@irishboy123 I didn't think there was one.
anonymous
  • anonymous
@LynFran Could you please help?

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IrishBoy123
  • IrishBoy123
\(108 \times ?? = -18\) \(-18 \times ?? = 3\) \( 3 \times ?? = -\frac{1}{2} \)
anonymous
  • anonymous
anonymous
  • anonymous
So then what? @IrishBoy123
IrishBoy123
  • IrishBoy123
yes so you took 108 and started multiplying it by -1/6 so the terms of the sequence gradually becomes what?
anonymous
  • anonymous
0?
IrishBoy123
  • IrishBoy123
yes
anonymous
  • anonymous
So converges at 0?
IrishBoy123
  • IrishBoy123
y https://www.mathsisfun.com/definitions/converging-sequence.html
anonymous
  • anonymous
Can you help me with one more? Write the sum using summation notation, assuming the suggested pattern continues. -8 - 3 + 2 + 7 + ... + 67
anonymous
  • anonymous
And it converges at 0 because the values get closer and closer to 0
IrishBoy123
  • IrishBoy123
yes for next one, post new thread
anonymous
  • anonymous
Ok

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