Question
Find the 74th term of the arithmetic sequence minus, 8, comma, 0, comma, 8, comma, point, point, .
Answers
GPT 3.5
The given arithmetic sequence starts with mean term -8, and the common difference is $8-(-8) =16.$
To find the 74th term $a_{74}$, we use the formula $a_n = a_1 + (n-1)d,$ where $a_n$ is the $n$th term, $a_1$ is the first term, $n$ is the term number, and $d$ is the common difference.
Substituting the known values, we have $a_{74} = -8 + (74-1)(16) = -8+73(16)=1180.$
Hence, the 74th term of the arithmetic sequence is $\boxed{1180}.$
To find the 74th term $a_{74}$, we use the formula $a_n = a_1 + (n-1)d,$ where $a_n$ is the $n$th term, $a_1$ is the first term, $n$ is the term number, and $d$ is the common difference.
Substituting the known values, we have $a_{74} = -8 + (74-1)(16) = -8+73(16)=1180.$
Hence, the 74th term of the arithmetic sequence is $\boxed{1180}.$