Based on the given information, we can determine the values of f(n) for different values of n.
f(1) = 2/3 (given)
f(2) = f(1) * 3/2 = (2/3) * (3/2) = 1
f(3) = f(2) * 3/2 = 1 * 3/2 = 3/2
f(4) = f(3) * 3/2 = (3/2) * (3/2) = 9/4
f(5) = f(4) * 3/2 = (9/4) * (3/2) = 27/8
In general, we can observe the pattern that f(n) = (2/3) * (3/2)^(n-1).
So, to find f(n) for a specific value of n, substitute it into the formula:
f(n) = (2/3) * (3/2)^(n-1)
For example, if we want to find f(6):
f(6) = (2/3) * (3/2)^(6-1 f(6) = (2/3) * (3/2)^(6-1)
= (2/3) * (3/2)^5
= (2/3) * (243/32)
= 486/96
= 27/16
Therefore, f(6) = 27/16.