Find the nth term of the geometric sequence.
-$$a = 3 ; r = \left( \frac { 1 } { 3 } \right)$$
A) $a _ { n } = 3 \left( \frac { 1 } { 3 } \right) n$
B) $a _ { n } = 3 \left( - \frac { 1 } { 3 } \right) ^ { n - 1 }$
C) $a _ { n } = 3 \left( \frac { 1 } { 3 } \right) ^ { n - 1 }$
D) $a _ { n } = \frac { 1 } { 3 } ( 3 ) ^ { n - 1 }$

Question

Quizplus · Accepted Answer

The nth term of a geometric sequence is given by $a_n = a \cdot r^{n-1}$, where $a$ is the first term and $r$ is the common ratio. Here, $a = 3$ and $r = \frac{1}{3}$, so the nth term is $a_n = 3 \left( \frac{1}{3} \right)^{n-1}$.

Find the Nth Term of the Geometric Sequence a=3;r=(13)a = 3 ; r = \left( \frac { 1 } { 3 } \right)a=3;r=(31​)

Find the Nth Term of the Geometric Sequence $a = 3 ; r = \left( \frac { 1 } { 3 } \right)$