Question
In the arithmetic sequence -18, -12, -6, .... which term is 54?
15th
14th
13th
Or 54 is not a term in the sequence.
15th
14th
13th
Or 54 is not a term in the sequence.
Answers
GPT 3.5
To find which term 54 is in the given arithmetic sequence, we need to determine the common difference first.
Common difference = -12 - (-18) = 6
So, each term increases by 6.
To find out which term is 54, we can set up the equation:
-18 + (n-1) * 6 = 54
-18 + 6n - 6 = 54
6n - 24 = 54
6n = 78
n = 13
Therefore, 54 is the 13th term in the sequence.
So, the correct answer is 13th term.
Common difference = -12 - (-18) = 6
So, each term increases by 6.
To find out which term is 54, we can set up the equation:
-18 + (n-1) * 6 = 54
-18 + 6n - 6 = 54
6n - 24 = 54
6n = 78
n = 13
Therefore, 54 is the 13th term in the sequence.
So, the correct answer is 13th term.