Answer:
[tex]f(4) = 533[/tex]
Step-by-step explanation:
We have that:
[tex]f(1) = 8 \: and \: f(n) = 4f(n - 1)[/tex]
We need to find f(4) based on the given conditions.
We first put n=2, to obtain;
[tex]f(2) = 4f(2 - 1) + 1 \\ f(2)= 4f(1) + 1 \\ f(2) = 4 \times 8 + 1 \\ f(2) = 33[/tex]
We now put n=3 to get:
[tex]f(3) = 4f(2) + 1 \\ f(3) = 4 \times 33 + 1 \\ f(3) = 133[/tex]
We now put n=4, to get:
[tex]f(4) = 4f(3) + 1 \\ f(4) = 4 \times 133 + 1 \\ f(4) = 533[/tex]
