Final answer:
The nᵣᵗ term of the arithmetic sequence -3, -3.07, -3.14, -3.21, -3.28 is -3.07n + 0.07, where n represents the term number in the sequence.
Step-by-step explanation:
The sequence given is -3, -3.07, -3.14, -3.21, -3.28. To determine the nth term, we first need to find the common difference by subtracting any term from the term that follows it. Here, if we subtract -3.07 from -3, we get -0.07 as the common difference.
The sequence appears to be arithmetic since each term decreases by 0.07. The formula to find the nth term of an arithmetic sequence is an = a1 + (n - 1)d, where an is the nth term, a1 is the first term and d is the common difference.
Thus, to find the nth term of this sequence: an = -3 + (n - 1)(-0.07) = -3 - 0.07n + 0.07 = -3.07n + 0.07. Therefore, the nth term of the sequence is -3.07n + 0.07.