Final answer:
The value of f(6) is 3, as 6 is an even number and according to the given function, f(n) for an even number is n/2.
Step-by-step explanation:
The student has asked for the value of f(6) for the given function f(n), where f(n) is equal to n/2 if n is even and equal to 3n + 1 if n is odd.
Since 6 is an even number, we apply the rule for even numbers:
The function f(n) is defined as follows:
If n is even, f(n) = n/2
If n is odd, f(n) = 3n+1
To find the value of f(6), we need to plug in the value 6 into the function. Since 6 is even, we use the first case:
f(6) = 6/2 = 3
Therefore, the value of f(6) is 3.
f(6) = 6 / 2 = 3
Therefore, f(6) is 3.