Final answer:
The 32nd term of the arithmetic sequence defined by the formula a_n = -12 + (n - 1)×3 is 81.
Step-by-step explanation:
The student is asking for the 32nd term of an arithmetic sequence. The formula for the nth term of an arithmetic sequence is a_n = a_1 + (n - 1)d, where a_n is the nth term, a_1 is the first term, and d is the common difference. In this case, the sequence is defined by the formula a_n = -12 + (n - 1)×3, with -12 as the first term and 3 as the common difference.
To find the 32nd term, we plug 32 into the formula: a_32 = -12 + (32 - 1)×3. Calculating this, we get a_32 = -12 + (31)×3 = -12 + 93 = 81. Therefore, the 32nd term of the sequence is 81.