Find a general term an for the geometric sequence.
-$$a _ { 1 } = 4 , r = \frac { 4 } { 5 }$$
A) $a _ { n } = 4 ^ { n - 1 } - \frac { 16 } { 5 }$
B) $a _ { n } = 4 - \frac { 16 } { 5 } ( n - 1 )$
C) $a _ { n } = 4 + \frac { 1 } { 5 } ( n - 1 )$
D) $a _ { n } = 4 \cdot \left( \frac { 4 } { 5 } \right) ^ { n - 1 }$

Question

Quizplus · Accepted Answer

The general term of 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. Here, $a_1 = 4$ and $r = \frac{4}{5}$, so the general term is $a_n = 4 \cdot \left(\frac{4}{5}\right)^{n-1}$.

Find a General Term an for the Geometric Sequence a1=4,r=45a _ { 1 } = 4 , r = \frac { 4 } { 5 }a1​=4,r=54​

Find a General Term an for the Geometric Sequence $a _ { 1 } = 4 , r = \frac { 4 } { 5 }$