The 11th term of an arithmetic sequence is 75, and the first term is -5.Find the common difference.
A)8
B)21
C)-5
D)-8
E)5

Question

Quizplus · Accepted Answer

The common difference in an arithmetic sequence can be found using the formula $a_n = a_1 + (n-1)d$, where $a_n$ is the nth term, $a_1$ is the first term, $n$ is the term number, and $d$ is the common difference. Given $a_{11} = 75$ and $a_1 = -5$, we can substitute these values into the formula: $75 = -5 + (11-1)d$. Simplifying, we get $80 = 10d$, so $d = 8$.

The 11th Term of an Arithmetic Sequence Is 75, and the First