Find the nth term of the geometric sequence.
-$- 8 , - 16 , - 32 , - 64 , - 128$
A) $a _ { n } = - 8 \cdot 2 ^ { n }$
B) $a _ { n } = a _ { 1 } + 2 ^ { n }$
C) $a _ { n } = - 8 \cdot 2 ^ { n - 1 }$
D) $a _ { n } = - 8 \cdot 2 n$

Question

Quizplus · Accepted Answer

The common ratio of the sequence is 2, and the first term is -8. The nth term of a geometric sequence is given by $a_n = a_1 \cdot r^{n-1}$, where $a_1$ is the first term and $r$ is the common ratio. Substituting $a_1 = -8$ and $r = 2$, we get $a_n = -8 \cdot 2^{n-1}$.

Find the Nth Term of the Geometric Sequence −8,−16,−32,−64,−128- 8 , - 16 , - 32 , - 64 , - 128−8,−16,−32,−64,−128

Find the Nth Term of the Geometric Sequence $- 8 , - 16 , - 32 , - 64 , - 128$