Answer:
Since both differences are equal to -17, we can conclude that the common difference of the sequence is -17.
Explanation:
The common difference, denoted as "d," of a sequence is the constant value by which each term in the sequence differs from the previous term. In order to determine the common difference of the given sequence 9, -8, -25, we need to examine the differences between consecutive terms.
To find the difference between the first and second terms, we subtract the second term from the first term: -8 - 9 = -17. Similarly, to find the difference between the second and third terms, we subtract the third term from the second term: -25 - (-8) = -17.
Since both differences are equal to -17, we can conclude that the common difference of the sequence is -17.