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.

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft

b. hannah is playing with her cousin at