Geometric Sequence

-3, 3, -9, 15, ...

-1, 1, 4, 8, ....

1, -5, 25, -125, ...

10, 12, 15, 19, ...

2

-2

3

-3

$a_n=2\left(-5\right)^{\left(n-1\right)}$

$a_n=-2\left(-5\right)^{\left(n-1\right)}$

$a_n=-2\left(5\right)^{\left(n-1\right)}$

$a_n=2\left(-5\right)^n$

-256

512

-1024

2048

 $-\frac{64}{81},-\frac{128}{243},-\frac{256}{729}$  

 $-\frac{16}{27},\ -\frac{32}{81},\ -\frac{64}{243}$  

 $-\frac{80}{81},-\frac{160}{243},-\frac{320}{729}$  

 $\frac{64}{81},\frac{128}{243},\frac{256}{729}$  

512

1024

2048

4096

2

3

4

-4

2

-2

3

4

 $\frac{4}{81}$  

 $\frac{4}{243}$  

 $\frac{4}{729}$  

 $\frac{1}{729}$  

$a_n=\frac{3}{5}\left(-5\right)^{\left(n-1\right)}$

$a_n=\frac{2}{5}\left(5\right)^{\left(n-1\right)}$

$a_n=\frac{1}{5}\left(-5\right)^{\left(n-1\right)}$

$a_n=\frac{3}{2}\left(-5\right)^{\left(n-1\right)}$