Question

Find the 12th term in the arithmetic sequence an = 3 − 6(n − 1).

a) -33
b) -63
c) -36
d) -69

Answer 1

To find the 12th term of the sequence a_n = 3 - 6(n - 1), substitute n with 12 and calculate to get -63, which is option b).

Step-by-step explanation:

The student is asking to find the 12th term of the arithmetic sequence given by the formula an = 3 - 6(n - 1). To find a specific term in an arithmetic sequence, we simply plug in the value of that term's position into the formula. In this case, to find the 12th term (a12), we substitute n with 12.

We can calculate it as follows:

a12 = 3 - 6(12 - 1)
a12 = 3 - 6(11)
a12 = 3 - 66
a12 = -63

Therefore, the 12th term in the given arithmetic sequence is -63, which corresponds to the option b).