Final answer:
The common difference 'd' in the sequence -33, -53, -73, -93 is calculated by subtracting a term from the term that follows it, which gives a consistent difference of -20. Thus, the value of 'd' is -20.
Step-by-step explanation:
The sequence in question is -33, -53, -73, -93. To find the value of 'd', which denotes the common difference in the sequence, we subtract a term from the term that follows it. Taking -53 and -33, for instance:
-53 - (-33) = -53 + 33 = -20
We can now apply the same method to the other terms to verify the consistency of the common difference:
-73 - (-53) = -73 + 53 = -20
-93 - (-73) = -93 + 73 = -20
Since the difference is consistent, we confirm that the common difference 'd' is -20.
Therefore, the correct answer is option A) d = -20.