Find a general term a n for the geometric sequence.
-$$a _ { 1 } = 2 , r = \frac { 2 } { 9 }$$
A) $a _ { n } = 2 ^ { n - 1 } - \frac { 16 } { 9 }$
B) $a _ { n } = 2 + \frac { 1 } { 9 } ( n - 1 )$
C) $a _ { n } = 2 \cdot \left( \frac { 2 } { 9 } \right) ^ { n - 1 }$
D) $a _ { n } = 2 - \frac { 16 } { 9 } ( n - 1 )$

Question

Quizplus · Accepted Answer

The general term for a geometric sequence is given by $a_n = a_1 \cdot r^{n-1}$, where $a_1$ is the first term and $r$ is the common ratio. Substituting $a_1 = 2$ and $r = \frac{2}{9}$ gives $a_n = 2 \cdot \left( \frac{2}{9} \right)^{n-1}$.

Find a General Term An for the Geometric Sequence a1=2,r=29a _ { 1 } = 2 , r = \frac { 2 } { 9 }a1​=2,r=92​

Find a General Term A_n for the Geometric Sequence $a _ { 1 } = 2 , r = \frac { 2 } { 9 }$