Final answer:
The sequence generated by the function f(n + 1) = f(n) - 2 for f(1) = 10 is 10, 8, 6, 4, 2, and so on, decreasing by 2 each time. The correct sequence listed is D: 10, 8, 6, 4, 2.
Step-by-step explanation:
The question asks us to find the sequence generated by the function f(n + 1) = f(n) - 2 for f(1) = 10. To find the sequence, we start at n = 1 with f(1) = 10 and then apply the function to find subsequent terms.
For n = 1:
f(1) = 10 (given)
For n = 2:
f(2) = f(1) - 2 = 10 - 2 = 8
For n = 3:
f(3) = f(2) - 2 = 8 - 2 = 6
And so on, for each subsequent term, we subtract 2 from the previous term.
The generated sequence is therefore 10, 8, 6, 4, 2, ... and so on, continuing to decrease by 2 each time.
So, the correct answer is sequence D: 10, 8, 6, 4, 2, and so on.