Answer: First 3 iterations are 3, 9, 27
Step-by-step explanation:
The function in this problem is:
[tex]f(x)=3x[/tex]
We want to find the values of the first 3 iterations, using an initial value of
[tex]x=1[/tex]
Substituting x = 1, we find:
[tex]f(1)=3\cdot 1 = 3[/tex]
This is the value of the 1st iteration.
Now for the second iteration, we want to calculate
[tex]f^2(x)[/tex]
And substituting x = 1, we find:
[tex]f^2(1)=3\cdot 3\cdot 1 = 9[/tex]
Finally, for the 3rd iteration, we want to calculate
[tex]f^3(x)[/tex]
Therefore, substituting x = 1, we find
[tex]f^3(1)=3\cdot 3 \cdot 3 \cdot 1 = 27[/tex]
