Find an explicit rule for the nth term of the sequence.
-$$3 , - 12,48 , - 192 , \ldots$$
A) $a _ { n } = 3 \cdot 4 ^ { n + 1 }$
B) $a _ { n } = 3 \cdot ( - 4 ) ^ { n - 1 }$
C) $a _ { n } = 3 \cdot ( - 4 ) ^ { n }$
D) $a _ { n } = 3 \cdot 4 ^ { n - 1 }$

Question

Quizplus · Accepted Answer

The sequence follows a pattern where each term is -4 times the previous term, starting with 3. Therefore, the nth term is given by $3 \cdot (-4)^{n-1}$.

Find an Explicit Rule for the Nth Term of the Sequence