In the arithmetic sequence −18,−12,−6, . . . , which term is 54?

Answer 1

To find the term in the arithmetic sequence −18, −12, −6, ... that is equal to 54, we first need to find the common difference.

The common difference can be found by subtracting the second term from the first term:
-12 - (-18) = 6

Now that we know the common difference is 6, we can find the term that is equal to 54 by solving for n in the following equation:
-18 + 6(n-1) = 54

-18 + 6(n-1) = 54
6(n-1) = 72
n-1 = 12
n = 13

Therefore, the 13th term in the arithmetic sequence −18, −12, −6, ... is equal to 54.