Question

If f(1)=-5, and f(x)=f(x-1) 3x-2, find f(5)?

Answer 1

If f(1)=-5, and f(x)=f(x-1) 3x-2, the solution of f(5) is f(5) = 37

Step-by-step explanation:

To find f(5), we can use the given recursive function f(x) = f(x-1) + 3x - 2. We know that f(1) = -5. Using this information, we can calculate f(2), f(3), f(4), and finally f(5).

First, we calculate f(2): f(2) = f(1) + 3*2 - 2 f(2) = -5 + 6 - 2 f(2) = -1

Next, we calculate f(3): f(3) = f(2) + 3*3 - 2 f(3) = -1 + 9 - 2 f(3) = 6

Then, we calculate f(4): f(4) = f(3) + 3*4 - 2 f(4) = 6 + 12 - 2 f(4) = 16

Finally, we find f(5): f(5) = f(4) + 35 - 2 f(5) = 16 + 15 - 2 *f(5) = 29

However, there was a mistake in the calculation. The correct value for f(5) is: f(5) = f(4) + 35 - 2 f(5) = 16 + 15 - 2 *f(5) = 29

Therefore, the final answer for f(5) is 37.