Write the expression for the general (or nth)termrm, $\mathbf { a } _ { \mathbf { n } } ,$ , of the geometric sequence.
-8, -16, 32, -64, 128,. . .
A) $a _ { n } = 8 ( - 2 ) ^ { n - 1 }$
B) $a _ { n } = 8 ( - 2 ) n$
C) $a _ { n } = a _ { 1 } - 2 ^ { n }$
D) $a _ { n } = 8 ( - 2 ) ^ { n }$

Question

Quizplus · Accepted Answer

The sequence is a geometric sequence where each term is obtained by multiplying the previous term by -2. The first term $a_1$ is 8, and the common ratio $r$ is -2. The formula for the nth term of a geometric sequence is $a_n = a_1 \cdot r^{n-1}$. Substituting $a_1 = 8$ and $r = -2$, we get $a_n = 8(-2)^{n-1}$.

Write the Expression for the General (Or Nth)termrm an,\mathbf { a } _ { \mathbf { n } } ,an​,

Write the Expression for the General (Or Nth)termrm $\mathbf { a } _ { \mathbf { n } } ,$