Final answer:
To find the 12th term in a geometric sequence with a first term of -1 and a common ratio of 3, the formula an = a1 × r(n - 1) gives us a12 = -177,147, which does not match any of the provided options.
Step-by-step explanation:
The student is asking to find the 12th term in a geometric sequence where the first term, a1, is -1 and the common ratio, r, is 3. To find the 12th term, a12, in a geometric sequence, we use the formula:
an = a1 × r(n - 1)
Plugging in the values given, we get:
a12 = -1 × 3(12 - 1)a12 = -1 × 311a12 = -1 × 177,147a12 = -177,147
Since none of the provided options match -177,147, there may be a misunderstanding or a mistake in the provided sequence or options. The student should recheck the sequence or the options provided.