Write a formula for the general term (the nth term)of the arithmetic sequence. Then use the formula for $r a _ { n }$ to find $a _ { 20 }$ , the 20th term of the sequence.
-$$a _ { n } = a _ { n - 1 } + 10 , a _ { 1 } = 18$$
A) $a _ { n } = 10 n + 8 , a _ { 20 } = 208$
B) $a _ { n } = 18 n - 8 , a _ { 20 } = 352$
C) $a _ { n } = 10 n + 28 , a _ { 20 } = 228$
D) $a _ { n } = 8 n + 10 , a _ { 20 } = 170$

Question

Quizplus · Accepted Answer

The formula for the nth term of an arithmetic sequence is $a_n = a_1 + (n - 1)d$, where $d$ is the common difference. Given $a_1 = 18$ and $d = 10$, the formula becomes $a_n = 18 + (n - 1)10 = 10n + 8$. Substituting $n = 20$, $a_{20} = 10(20) + 8 = 208$.

Write a Formula for the General Term (The Nth Term)of ranr a _ { n }ran​

Write a Formula for the General Term (The Nth Term)of $r a _ { n }$