To find the common difference \(d\) of the arithmetic sequence, you subtract any term from the subsequent term.
Let's take the first two terms:
\[ d = 34 - 74 = -40 \]
Now let's check the next pair of terms:
\[ d = -14 - 34 = -48 \]
Let's check the next pair of terms:
\[ d = -54 - (-14) = -40 \]
Therefore, the correct common difference \(d\) is:
\[ d = -40 \]
It appears that there might be a miscommunication regarding the choices you’ve provided, as none of them reflect the correct common difference of -40. Please double-check the sequence or the options given. Based on the provided sequence, the common difference is indeed \(d = -40\).