Final answer:
To find the nth term of an arithmetic sequence, we need to find the common difference. Then, we can use the nth term formula, which is first term + (n - 1) * common difference. In this case, the common difference is -7.6 and the first term is -28.8.
Step-by-step explanation:
To find the nth term of the arithmetic sequence, we first need to find the common difference (d). The common difference can be calculated by subtracting the third term (-13.6) from the fifth term (-21.2): -21.2 - (-13.6) = -21.2 + 13.6 = -7.6.
Now that we have the common difference, we can use it to find the nth term. The nth term formula for an arithmetic sequence is given by: nth term = first term + (n - 1) * common difference.
Since the first term is not given in the question, we cannot directly find the nth term. But we can find the first term by using the third term and the common difference. Let's substitute the values we have: -13.6 = first term + 2 * (-7.6). Solving this equation, we get: first term = -13.6 + (-15.2) = -28.8.
Now, we can substitute the values of the first term and the common difference into the nth term formula: nth term = -28.8 + (n - 1) * (-7.6).