Final answer:
The common difference of the arithmetic sequence -9.2, -11.3, -13.4, -15.5, -17.6 is -2.1, which is found by subtracting any term from the next term in the sequence.
Step-by-step explanation:
The student has presented the sequence −9.2, −11.3, −13.4, −15.5, −17.6 and is asking for the common difference of this arithmetic sequence. In an arithmetic sequence, the common difference is the constant amount we add to any term to get to the next term. The common difference can be calculated by subtracting any term from the term that follows it.
To find the common difference for this sequence, let us subtract the first term from the second term: −11.3 - (−9.2) = −2.1. Similarly, we can subtract the second term from the third term: −13.4 - (−11.3) = −2.1. We can verify that the difference is consistent throughout the sequence; subtracting any term from the subsequent term yields −2.1. Thus, −2.1 is the common difference of this sequence.