the first four terms of an arithmetic sequence are -11, -5, 1, 7. what is the equation for a_n? a a_n=-11(n…

Explanation:

Step1: Find the common - difference

The common - difference $d$ of an arithmetic sequence is found by subtracting consecutive terms. $d=-5 - (-11)=6$.

Step2: Recall the formula for the $n$th term of an arithmetic sequence

The formula for the $n$th term of an arithmetic sequence is $a_{n}=a_{1}+(n - 1)d$, where $a_{1}$ is the first term and $d$ is the common - difference. Here, $a_{1}=-11$ and $d = 6$.

Step3: Substitute values into the formula

Substitute $a_{1}=-11$ and $d = 6$ into the formula $a_{n}=a_{1}+(n - 1)d$, we get $a_{n}=6(n - 1)-11$.

Answer:

B. $a_{n}=6(n - 1)-11$