Answer:
The value of f(5) is 15.
Explanation:
To find the value of f(5), we can use the given recursive formula f(n) = n * f(n-1) / 2.
Let's calculate step by step:
1. Start with f(1) = 2, as given.
2. Use the recursive formula to find f(2):
f(2) = 2 * f(2-1) / 2
= 2 * f(1) / 2
= 2 * 2 / 2
= 4 / 2
= 2
3. Continue using the recursive formula to find f(3):
f(3) = 3 * f(3-1) / 2
= 3 * f(2) / 2
= 3 * 2 / 2
= 6 / 2
= 3
4. Similarly, find f(4):
f(4) = 4 * f(4-1) / 2
= 4 * f(3) / 2
= 4 * 3 / 2
= 12 / 2
= 6
5. Finally, find f(5):
f(5) = 5 * f(5-1) / 2
= 5 * f(4) / 2
= 5 * 6 / 2
= 30 / 2
= 15
Therefore, the value of f(5) is 15.