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Is the sequence geometric? If so, identify the common ratio. 2,-4,-16,-36, ...

 a. yes; -2

 b. yes; 2

 c. yes; -3

 d. no

 May 18, 2016
 #1
avatar+129852 
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It is not geometric......for it to be geometric, the ratio between successive terms must be equal

 

So .......

 

Ratio of second term to the first term  = -4 / 2      = -2

 

But

 

Ratio of the third term to the second term  = -16/-4 =  4

 

 

 

cool cool cool

 May 18, 2016
 #2
avatar+116 
+5

D)

Beacuse in a Geometric series you MULTIPLY by the same number over and over again while a arithmetic sequence you add or subtract by the same number over and over again. in this case it is doing nither which makes the awnser D..

 May 18, 2016

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