Final answer:
To find the missing terms in an arithmetic sequence, we can use the formula for the nth term. By substituting the given values and solving for the common difference, we can find the missing terms. The missing terms in this sequence are -4 and 12.
Step-by-step explanation:
In an arithmetic sequence, the common difference is the same between any two consecutive terms. To find the missing terms, we can use the formula for the nth term of an arithmetic sequence:
f(n) = f(1) + (n-1)d
Given f(1) = 28, we substitute the values into the formula:
f(3) = 28 + (3-1)d = 28 + 2d = 12
Solving for d, we get d = -8. Now we can find f(4) and f(5) using the formula:
f(4) = 28 + (4-1)(-8) = 12
f(5) = 28 + (5-1)(-8) = -4
Therefore, the missing terms are -4 and 12, which corresponds to option b.