Answer:
The table represents a geometric sequence because the successive y-values have a common ratio of 0.6.
Step-by-step explanation:
We are given the values of y as [tex]a_{1}=5,a_{2}=3,a_{3}=1.8,a_{4}=1.08[/tex] where the subscript {1,2,3,4} represents the value of x i.e. [tex]a_{i}'s[/tex] represent the value of y at x=i.
now the following sequence is clearly a geometric sequence as we get a common ratio for the terms : [tex]\frac{a_{2} }{a_{1} }=\frac{a_{3} }{a_{2} }=\frac{a_{4} }{a_{3} }[/tex]
so the common ration here is [tex]\frac{3}{5}=\frac{1.8}{3}=\frac{1.08}{1.8}=0.6[/tex]
Hence the following sequence is a geometric sequence with a common ratio 0.6.
Answer:
The table represents a geometric sequence because the successive y-values have a common ratio of 0.6.
Step-by-step explanation:
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