The 12th term of an arithmetic sequence is 83, and the first term is -5.Find the common difference.
A)8
B)-2
C)18
D)-8
E)2

Question

Quizplus · Accepted Answer

The common difference in an arithmetic sequence can be found using the formula for the nth term: $a_n = a_1 + (n-1)d$, where $a_n$ is the nth term, $a_1$ is the first term, $n$ is the term number, and $d$ is the common difference. Substituting the given values, $83 = -5 + (12-1)d$, simplifying gives $88 = 11d$, so $d = 8$.

The 12th Term of an Arithmetic Sequence Is 83, and the First