Final answer:
The 31st term of the arithmetic sequence can be found using the formula for the nth term. The common difference is 9, and using this, the 31st term is calculated to be 283 with no need for rounding.
Step-by-step explanation:
The sequence provided is an arithmetic sequence where the difference between consecutive terms is constant. To find the 31st term, we can use the formula for the nth term of an arithmetic sequence, which is a_n = a_1 + (n - 1) * d, where a_1 is the first term, d is the common difference, and n is the term number.
The first term a_1 is 13, and the common difference d can be found by subtracting the first term from the second term, which gives us 22 - 13 = 9. Therefore, the 31st term is 13 + (31 - 1) * 9 = 13 + 30 * 9 = 13 + 270 = 283. Since we seek the nearest thousandth, we do not need to round. Hence, the 31st term is 283.000.