Determine whether the sequence is arithmetic. If so, find the common difference. (Assume that $n$ begins with 1.)
$$a _ { n } = - 6 + 4 n$$
A) $- 4$
B) 6
C) $- 6$
D) 4
E) not arithmetic

Question

Quizplus · Accepted Answer

The sequence is arithmetic because the difference between each term is constant. The common difference can be found by subtracting any term from the subsequent term. For $a_{n+1} = -6 + 4(n+1)$, simplifying gives $a_{n+1} = -6 + 4n + 4$. Subtracting $a_n$ from $a_{n+1}$ gives $a_{n+1} - a_n = 4$, indicating a common difference of 4.

Determine Whether the Sequence Is Arithmetic nnn Begins with 1 an=−6+4na _ { n } = - 6 + 4 nan​=−6+4n

Determine Whether the Sequence Is Arithmetic $n$ Begins with 1 $a _ { n } = - 6 + 4 n$