Final answer:
The fifth term of the geometric sequence, given by f(1) = 8,000 and f(n) = f(n - 1) for n > 2, would remain 8,000 as there is no change in value from one term to the next. However, this value is not listed among the options given.
Step-by-step explanation:
The recursive formula provided states that f(1) = 8,000, with the rule f(n) = f(n - 1) for n > 2. To find the fifth term in this geometric sequence, we would calculate the previous terms following the formula. However, it seems there might be an error in the recursive rule provided because it doesn't include the common ratio, which is a necessity for a geometric sequence.
The sequence given does not alter its value after the initial term since f(n) = f(n - 1) implies repetition of the same value. Thus, the fifth term f(5) will still be 8,000 as there is no change specified in the subsequent terms. Therefore, none of the choices provided (A) 250, (B) 500, (C) 1,000, (D) 1,600 correspond to the correct answer.