Answer:
Step-by-step explanation:
Explicit formula of a G.P. is given by,
[tex]a_n=a(r)^{n-1}[/tex]
Here, [tex]a_n[/tex] = nth term
a = First term
n = number of term
r = common ratio
Given sequence is 3, 6, 12, .......
a = 3
r = [tex]\frac{6}{3}[/tex] = 2
Therefore, explicit formula will be,
[tex]a_n=3(2)^{n-1}[/tex]
Option (3) is the answer.
Parent function → f(x) = 3ˣ
Transformed function → g(x) = [tex]3^{x+5}[/tex]
Since, g(x) = f(x + 5)
Therefore, function 'f' has been shifted 5 units left.
Option (1) is the answer.