olivetree163 olivetree163
  • 24-01-2021
  • Mathematics
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Write the first five terms of the geometric sequence in which a1=8 and the common ratio is -1/2.

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devishri1977
devishri1977 devishri1977
  • 24-01-2021

Answer:

First five terms are:

8 , (-4) , 2 , (-1) , (1/2)

Step-by-step explanation:

[tex]a_{1}=8 \\\\r = \frac{-1}{2}\\\\a_{2}=\frac{-1}{2}*a_{1}= \frac{-1}{2}*8= -4\\\\a_{3}=\frac{-1}{2}*a_{2}=\frac{-1}{2}*-4=2\\\\a_{4}=\frac{-1}{2}*a_{3}=\frac{-1}{2}*2=-1\\\\a_{5}=\frac{-1}{2}*a_{4}=\frac{-1}{2}*-1=\frac{1}{2}[/tex]

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