Find $a _ { n } \text { and } a _ { 6 }$ for the following arithmetic sequence.
-2, 6, 10, 14, 18, . . .
A) $a _ { n } = 2 n - 4 ; a _ { 6 } = 8$
B) $a _ { n } = 4 n - 2 ; a _ { 6 } = 22$
C) $a _ { n } = n + 4 ; a _ { 6 } = 10$
D) $a _ { n } = 2 ( 4 ) ^ { n - 1 } ; a _ { 6 } = 32,768$

Question

Find $a _ { n } \text { and } a _ { 6 }$ for the following arithmetic sequence.
-2, 6, 10, 14, 18, . . . 
A) $a _ { n } = 2 n - 4 ; a _ { 6 } = 8$
B) $a _ { n } = 4 n - 2 ; a _ { 6 } = 22$
C) $a _ { n } = n + 4 ; a _ { 6 } = 10$
D) $a _ { n } = 2 ( 4 ) ^ { n - 1 } ; a _ { 6 } = 32,768$

Quizplus · Accepted Answer

The sequence is arithmetic with a common difference of 4. The first term $a_1 = 2$. The formula for the $n$th term of an arithmetic sequence is $a_n = a_1 + (n - 1)d$, where $d$ is the common difference. Substituting $a_1 = 2$ and $d = 4$, we get $a_n = 2 + (n - 1)4 = 4n - 2$. For $a_6$, substituting $n = 6$ into the formula gives $a_6 = 4(6) - 2 = 24 - 2 = 22$.

Find an and a6a _ { n } \text { and } a _ { 6 }an​ and a6​

Find $a _ { n } \text { and } a _ { 6 }$