Final answer:
Using the explicit rule f(n) = -4(n - 1), the term -68 is found to be in position 18 of the sequence, corresponding to answer choice C.
Step-by-step explanation:
The student is given the explicit rule for a sequence and one of the specific terms, and they are tasked with finding the position of the given term. The rule is f(n) = -4(n - 1), and the term given is -68.
To find the position of the term -68 in the sequence, we substitute -68 for f(n) in the explicit rule and solve for n:
-68 = -4(n - 1)
Dividing both sides by -4 gives us:
17 = n - 1
Adding 1 to both sides, we find:
n = 18
Therefore, the term -68 is the 18th term in the sequence, which corresponds to answer choice C.