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.
-$14,8,2 , - 4 , \ldots$
A) $a _ { n } = - 6 n + 20 ; a _ { 20 } = - 100$
B) $a _ { n } = - 6 n + 14 ; a _ { 20 } = - 106$
C) $a _ { n } = 6 n - 20 ; a _ { 20 } = 100$
D) $a _ { n } = 6 n - 14 ; a _ { 20 } = 106$

Question

Quizplus · Accepted Answer

The common difference is -6. The first term is 14. The formula is $a_n = 14 + (n-1)(-6)$, simplifying to $a_n = -6n + 20$. For $a_{20}$, substitute n=20: $a_{20} = -6(20) + 20 = -100$.

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 $r a _ { n }$