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?

a. f(x)=12(4)x
b. f(x)=3(4)^x-1
c. f(x)=4(12)^x
d. f(x)=4(3)^x-1

B. f(x)=3(4)^x-1

Step-by-step explanation:

In order to know which explicit formula can be used to model the same sequence you have to calculate f(x) in:

f(x+1) and 4f(x)

and prove if they have the same results in both sides (f(x+1) = 4f(x))

Then, if you take

1. f(x+1)

=

2. 4f(x)

==

if you evaluate both sides (f(x+1) and 4f(x)) for x=0, x=1, x=2, you have:

x=0

==3

===3

x=1

==12

===12

x=2

==48

===48

Then you can say for: f(x)=3(4)^x-1 is fulfilled that f(x+1) = 4f(x)

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.

slope =   (y2 -y1) ÷ (x2 -x1)

slope = (0 -0) / (-5, -7)

slope = 0 / -12 = 0

the slope of the line is zero.   it is perfectly horizontal.

step-by-step explanation: