Find the general term $a_n$ of the given sequence
-$3,9,27,81,243, \ldots$
A) $a_{n}=3+6(n-1)$
B) $a_{n}=6 n$
C) $a_{n}=3^{n}$
D) $a_{n}=3^{n-1}+2$

Question

Quizplus · Accepted Answer

The sequence is a geometric sequence where each term is 3 times the previous term, starting with 3. The general formula for the nth term of a geometric sequence is $a_n = a_1 \cdot r^{(n-1)}$, where $a_1$ is the first term and $r$ is the common ratio. Here, $a_1 = 3$ and $r = 3$, so $a_n = 3 \cdot 3^{(n-1)} = 3^n$.

Find the General Term ana_nan​ Of the Given Sequence - 3,9,27,81,243,…3,9,27,81,243, \ldots3,9,27,81,243,…

Find the General Term $a_n$ Of the Given Sequence
- $3,9,27,81,243, \ldots$