Final answer:
The common difference of the arithmetic sequence −35, −135, −235, −335, −435 is −100.
Step-by-step explanation:
The question asks to identify the common difference of an arithmetic sequence. An arithmetic sequence is a sequence of numbers in which each term after the first is obtained by adding a constant, called the common difference, to the previous term. To find this common difference, we subtract any term from the term that follows it in the sequence. The given sequence is −35, −135, −235, −335, −435. Let's consider the difference between consecutive terms:
- −135 − (−35) = −100
- −235 − (−135) = −100
- −335 − (−235) = −100
- −435 − (−335) = −100
The differences between consecutive terms are the same, which confirms that the sequence is arithmetic and the common difference is −100.