Write the expression for the general (or nth)termrm, $\mathbf { a } _ { \mathbf { n } } ,$ , of the geometric sequence.
-3, 9, 27, 81, 243,. . .
A) $a _ { n } = 3 ^ { n }$
B) $a _ { n } = 3 ^ { n - 1 } + 3$
C) $a _ { n } = 6 n$
D) $a _ { n } = 3 + 6 ( n - 1 )$

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 $a_1$ is 3, and the common ratio $r$ is 3. The formula for the nth term of a geometric sequence is $a_n = a_1 \cdot r^{n-1}$. Substituting $a_1 = 3$ and $r = 3$, we get $a_n = 3 \cdot 3^{n-1} = 3^{n-1}$.

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

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