Final answer:
The common difference of the arithmetic sequence −34, −44, −54, −64, −74 is −10, as each term decreases by 10 from the previous term.
Step-by-step explanation:
The question asks for the common difference of the arithmetic sequence −34, −44, −54, −64, −74. To find the common difference in an arithmetic sequence, we subtract any term from the term that follows it. Starting with the first term, −34, and the second term, −44, when we subtract the first term from the second term (i.e., −44 − (−34) = −10), we determine that the common difference is −10. The common difference is consistent throughout the sequence, as each subsequent term is 10 less than the term before it (e.g., −54 − −44 = −10, and so on).
The common difference of an arithmetic sequence is the constant value that is added or subtracted to each term to get the next term. In the given sequence, the terms are decreasing by 10 each time. So, the common difference is -10.