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.
-$$a _ { n } = a _ { n - 1 } - 10 , a _ { 1 } = 36$$
A) $a _ { n } = - 10 n + 46 , a _ { 20 } = - 154$
B) $a _ { n } = 36 n + 46 , a _ { 20 } = 766$
C) $a _ { n } = - 10 n + 26 , a _ { 20 } = - 174$
D) $a _ { n } = 26 n + 36 , a _ { 20 } = 556$

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 $a_1 = 36$ and $d = -10$, the formula becomes $a_n = 36 + (n - 1)(-10) = 36 - 10n + 10 = -10n + 46$. Substituting $n = 20$ gives $a_{20} = -10(20) + 46 = -200 + 46 = -154$.

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 $r a _ { n }$