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

 Option 'B' is correct.

Step-by-step explanation:

Since we have given that

The recursive formula is given by

Since the second term = 12

so, the first term becomes

It forms a geometric sequence where common ratio r = 4.

So, Explicit formula that can be used to model the same sequence is given by

Hence, Option 'B' is correct.