mireyasantoyo16 mireyasantoyo16
  • 24-07-2017
  • Mathematics
contestada

The first term of a geometric sequence is –2 and the common -1/4. What are the next three terms of the sequence?

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irspow
irspow irspow
  • 24-07-2017
The common ratio tells you by which factor every successive term will be with respect to the preceding term so you have:

-2(-1/4)(-1/4)(-1/4)

1/2, -1/8, 1/32
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konrad509
konrad509 konrad509
  • 24-07-2017
[tex]a_1=-2\\ a_2=-2\cdot\left(-\dfrac{1}{4}\right)=\dfrac{1}{2}\\ a_3=-2\cdot\left(-\dfrac{1}{4}\right)^2=-\dfrac{1}{8}\\ a_4=-2\cdot\left(-\dfrac{1}{4}\right)^3=\dfrac{1}{32}[/tex]
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