Write a nonrecursive formula for the nth term of the arithmetic sequence {an} based on the given
information.
-$$a _ { 1 } = 6 , d = 4$$
A) $a _ { n } = 4 n + 2$
B) $a _ { n } = 2 n + 4$
C) $a _ { n } = 4 n - 2$
D) $a _ { n } = 2 n - 4$

Question

Quizplus · Accepted Answer

The formula for the nth term of an arithmetic sequence is $a_n = a_1 + (n - 1)d$. Substituting $a_1 = 6$ and $d = 4$ gives $a_n = 6 + (n - 1)4 = 6 + 4n - 4 = 4n + 2$, which matches choice A.

Write a Nonrecursive Formula for the Nth Term of the Arithmetic