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jaylelile
 one year ago
8.Sebastian writes the recursive formula f(x+1) = 4f(x) to represent a geometric sequence whose second term is 12.
Which explicit formula can be used to model the same sequence?
f(x) = 12(4)x
f(x) = 3(4)x − 1
f(x) = 4(12)x
f(x) = 4(3)x − 1
jaylelile
 one year ago
8.Sebastian writes the recursive formula f(x+1) = 4f(x) to represent a geometric sequence whose second term is 12. Which explicit formula can be used to model the same sequence? f(x) = 12(4)x f(x) = 3(4)x − 1 f(x) = 4(12)x f(x) = 4(3)x − 1

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misssunshinexxoxo
 one year ago
Best ResponseYou've already chosen the best response.0Which one do you believe it is?

jaylelile
 one year ago
Best ResponseYou've already chosen the best response.0I come up with different answers every time

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0If f(2)=12 then f(2+1)=4(12) Now go to the general formula for a geometric sequence. \[a _{n}=a _{1}*r ^{(n1)}\] Since f(3)=48 and f(2)=12 or you can say \[a _{3}=48\] and \[a _{2}=12\] Since \[r=\frac{ a _{n +1} }{ a _{n} }\]then r= 48/12 or 4 Now find \[a _{1}\] from the formula for n=3 \[48=a _{1}*4^{(31)}\] So \[a _{1}=3\] So it looks like \[f(x)=3*4^{x1}\]
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