Write the expression for the general (or nth)termrm, $\mathbf { a } _ { \mathbf { n } } ,$ , of the geometric sequence.
--8, -24, -72, -216, -648,. . .
A) $a _ { n } = - 8 ( 3 ) ^ { n }$
B) $a _ { n } = - 8 ( 3 n )$
C) $a _ { n } = - 8 ( 3 ) ^ { n - 1 }$
D) $a _ { n } = a _ { 1 } + 3 ^ { n }$

Question

Quizplus · Accepted Answer

The given sequence is a geometric sequence where each term is obtained by multiplying the previous term by -3. The first term $a_1 = -8$, and the common ratio $r = 3$. The formula for the nth term of a geometric sequence is $a_n = a_1 \cdot r^{n-1}$. Substituting $a_1 = -8$ and $r = 3$, we get $a_n = -8 \cdot 3^{n-1}$.

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

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