in the arithmetic sequence -18,-12,-6 which term is 54

Answer 1

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

The common difference is found by subtracting one term from the previous term. In this case, we have:

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

Therefore, the common difference between each term in the sequence is 6.

To find which term is 54, we can set up an equation:

-18 + (n - 1) * 6 = 54

Simplify the equation:

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

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