Question

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

Answer 1

The common difference in the arithmetic sequence is 6 (subtracting 6 each time), so to find the term that is 54, we need to determine how many steps it takes to reach 54 from -18:

54 - (-18) = 54 + 18 = 72

Since the common difference is 6, we divide 72 by 6 to find the number of steps:
72 / 6 = 12

So, the 12th term in the sequence is 54.

Answer 2

true, 54 = -18 + 6*12
That makes 54 the 13th term

Answer 3

You are correct, my mistake. Since the first term in the sequence is considered the 0th term, the term that equals 54 is actually the 13th term in the sequence. Thank you for pointing that out!