Question

F(1) = -11, and f(n) = f(n-1) * 10. What are the first 4 terms of the sequence f(n)?

a) -11, -110, -1100, -11000
b) -11, 11, 110, 1100
c) -11, -1.1, -0.11, -0.011
d) -11, 1.1, 11, 110

Answer 1

Using the function f(n) = f(n-1) * 10, starting with f(1) = -11, the first 4 terms of the sequence are calculated iteratively to be -11, -110, -1100, and -11000, corresponding to option (a).

Step-by-step explanation:

The first 4 terms of the sequence f(n) can be found using the given function f(n) = f(n-1) * 10, with the initial condition f(1) = -11. We apply this function iteratively:

1. f(1) = -11 (given)
2. f(2) = f(1) * 10 = -11 * 10 = -110
3. f(3) = f(2) * 10 = -110 * 10 = -1100
4. f(4) = f(3) * 10 = -1100 * 10 = -11000

Therefore, the first 4 terms of the sequence are -11, -110, -1100, -11000, which corresponds to option (a).