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

Hence, the explicit formula that can be used to model the same sequence is:

The recursive formula is given as:

f(x+1) = 4f(x).

Also the second term of the geometric sequence is given as:

f(2)=12

Hence,

f(1)=12/4=3

Similarly,

Hence, the explicit formula that can be used to model the same sequence is:

step-by-step explanation:

one of the most important purposes of surface treatment is to alter surface properties according to the requirement of specific applications. for example, hydrophobic coating has been utilized on windshield and eyeglasses. gold atom monolayer on substrate has become a popular surface bioconjugation strategy.