Answer:
f(5) = -10
Explanation:
Let's go through the calculation step by step to find the value of f(5) using the given recursive formula f(n) = f(n-1) - 3.
Start with the initial value f(1) = 2, as given in the problem.
To find f(2), we use the recursive formula f(n) = f(n-1) - 3. Since n = 2, we have f(2) = f(1) - 3. Plugging in the value of f(1) as 2, we get f(2) = 2 - 3 = -1.
Continuing the pattern, we find f(3) = f(2) - 3 = -1 - 3 = -4. We subtract 3 from the previous term f(2) to obtain f(3).
Moving on, f(4) = f(3) - 3 = -4 - 3 = -7. Again, we subtract 3 from the previous term f(3) to calculate f(4).
Finally, f(5) = f(4) - 3 = -7 - 3 = -10. Following the recursive formula, we subtract 3 from the previous term f(4) to determine f(5).
Therefore, the value of f(5) is -10.
Hope this helps!