Write an expression for the apparent $n$th term of the sequence. (Assume that $n$ begins with 1.)
$- 4 , - 2,0,2,4$
A) $a _ { n } = - 6 n + 2$
B) $a _ { n } = ( - 1 ) ^ { n } ( 2 n - 6 )$
C) $a _ { n } = 2 n$
D) $a _ { n } = 2 ^ { n } - 6$
E) $a _ { n } = 2 n - 6$

Question

Quizplus · Accepted Answer

The sequence increases by 2 each time, so the common difference is 2. The first term is -4. Using the formula for the nth term of an arithmetic sequence, we get: $$a_n = a_1 + (n-1)d = -4 + (n-1)(2) = 2n - 6$$ Therefore, the correct choice is E.

Write an Expression for the Apparent nnn Th Term of the Sequence

Write an Expression for the Apparent $n$ Th Term of the Sequence