In the arithmetic sequence −18,−12,−6, . . . , which term is 54?(1 point) Responses 15th 15th 14th 14th 54 is not a term in the sequence. 54 is not a term in the sequence. 13th
To find out which term is 54 in the arithmetic sequence, we need to first determine the common difference between each term.
Using the first two terms, we can see that the common difference is 6 because -12 - (-18) = 6.
Now, we can find the value of the nth term using the formula a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, n is the term number, and d is the common difference.
We can calculate the term number of 54 by plugging in the values:
54 = -18 + (n-1)6
72 = (n-1)6
12 = n - 1
n = 13
Therefore, the 13th term in the sequence is 54. So the answer is 13th.