Write the expression for the general (or nth)term, an, of the arithmetic sequence. Then, find the indicated term of the
arithmetic sequence.
-$a = 2 , d = 7 ; \text { find } a _ { n } \text { and } a_{ 16}$
A) $a _ { n } = 2 + 7 n , a _ { 16 } = 107$
B) $a _ { n } = - 5 - 7 n , a _ { 16 } = 107$
C) $a _ { n } = - 5 + 7 n , a _ { 16 } = 37$
D) $a _ { n } = - 5 + 7 n , a _ { 16 } = 107$

Question

Quizplus · Accepted Answer

The nth term of an arithmetic sequence is given by $a_n = a + (n-1)d$. Here, $a = 2$ and $d = 7$, so $a_n = 2 + (n-1) \times 7 = 2 + 7n - 7 = -5 + 7n$. For $a_{16}$, substitute $n = 16$: $a_{16} = -5 + 7 \times 16 = 107$.

Write the Expression for the General (Or Nth)term, An, of the Arithmetic