Final answer:
The 81st term of the arithmetic sequence is -1016.
Step-by-step explanation:
To find the 81st term of the arithmetic sequence 24, 11, -2, ..., we need to identify the common difference first. The common difference is the value that is added or subtracted to each term to get the next term. In this sequence, we subtract 13 from each term to get the next term. So, the 81st term can be found using the formula:
an = a1 + (n - 1)d
where an is the nth term, a1 is the first term, n is the position of the term, and d is the common difference.
Plugging in the values, we have a81 = 24 + (81 - 1)(-13) = 24 + 80(-13) = 24 - 1040 = -1016.
Therefore, the 81st term of the sequence is -1016.