Write the first n terms of the given arithmetic sequence (the value of n is indicated in the question).
-$$2,6,10,14,18 , \ldots$$
A) $\mathrm { a } _ { \mathrm { n } } = 2 ( 4 ) ^ { \mathrm { n } - 1 } ; \mathrm { a } _ { 6 } = 32,768$
B) $a _ { n } = n + 4 ; a _ { 6 } = 10$
C) $a _ { n } = 4 n - 2 ; a _ { 6 } = 22$
D) $a _ { n } = 2 n - 4 ; a _ { 6 } = 8$

Question

Quizplus · Accepted Answer

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

Write the First N Terms of the Given Arithmetic Sequence 2,6,10,14,18,…2,6,10,14,18 , \ldots2,6,10,14,18,…

Write the First N Terms of the Given Arithmetic Sequence $2,6,10,14,18 , \ldots$