Question

A sequence is defined by the formula f{n+1)=f(n)-3. If ff4)=22, what is (1)?

A. 10
B. 13
C. 31
D. 34​

Answer 1

To find f(1), we apply the given formula recursively and find that f(1) = 13.

Step-by-step explanation:

To find the value of f(1), we need to apply the given formula recursively. Given that f(4) = 22, we can use the formula f(n+1) = f(n) - 3 to find the values of f(3), f(2), and f(1).

Starting from f(4) = 22, we subtract 3 to get f(3) = 19. Then, subtracting 3 again, we get f(2) = 16. Finally, subtracting 3 once more, we find that f(1) = 13.

Therefore, the value of (1) is B. 13.