In the arithmetic sequence −18,−12,−6 , . . . , which term is 54?(1 point) Responses 13th 13th 14th 14th 54 is not a term in the sequence. 54 is not a term in the sequence. 15th

Answer 1

To find which term is 54 in the arithmetic sequence -18, -12, -6, ...., we need to determine the common difference first.

The common difference is calculated by subtracting the previous term from the next term.

-12 - (-18) = -12 + 18 = 6
-6 - (-12) = -6 + 12 = 6

Since the common difference is 6, we can see that each term is increasing by 6.

To find which term is 54, we can set up the equation as follows:

-18 + (n-1)6 = 54

Solving for n,

-18 + 6n - 6 = 54
-24 + 6n = 54
6n = 78
n = 13

Therefore, the 13th term in the sequence is 54. Answer: 13th