Final answer:
The nth term of the given arithmetic sequence can be found using the formula: nth term = first term + (n - 1) * common difference.
Step-by-step explanation:
The given sequence -8, -5.3, -2.6, 0.100000000000001, 2.8 can be classified as an arithmetic sequence because the common difference between each term is constant. To determine the nth term of this sequence, we need to find the formula for arithmetic sequences, which is given by:
nth term = first term + (n - 1) * common difference
In this case, the first term is -8 and the common difference is 2.7. Plugging these values into the formula, we have:
nth term = -8 + (n - 1) * 2.7
This formula will give you the value of the nth term in the sequence.
The sequence given is -8, -5.3, -2.6, 0.100000000000001, 2.8. To find the nth term of the sequence, first, we need to observe the difference between consecutive terms. The differences are 2.7, 2.7, 2.7, and 2.7. This indicates that the sequence is arithmetic and has a common difference of 2.7.
Now, let's use the formula for the nth term of an arithmetic sequence, which is an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, and d is the common difference.
Substituting our values, we get an = -8 + (n - 1)(2.7). This is the formula for the nth term of the given sequence.