The given pattern continues. Write down the nth term of the sequence suggested by the pattern.
-8 , 20 , 32 , 44 , 56 , ...
A) $a _ { n } = 8 ( 12 ) ^ { n - 1 }$
B) $a _ { n } = 4 n - 12$
C) $a _ { n } = 12 n - 1$
D) $a _ { n } = 4 ( 3 n - 1 )$

Question

Quizplus · Accepted Answer

The pattern increases by 12 each time (20 - 8 = 12, 32 - 20 = 12, etc.). The first term (n=1) is 8, which can be represented as $4(3*1-1) = 4*2 = 8$. Thus, the nth term is $4(3n-1)$.

The Given Pattern Continues an=8(12)n−1a _ { n } = 8 ( 12 ) ^ { n - 1 }an​=8(12)n−1

The Given Pattern Continues $a _ { n } = 8 ( 12 ) ^ { n - 1 }$