Write the explicit formula for the geometric sequence below.   

6​, 30​, 150​, 750​, …



Write the explicit formula for the geometric sequence below. 6​, 30​, 150​, 750​, …
**This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by** 


**5**


**5**


 **gives the next term. In other words,** 


**a**


**n**


**=**


**a**


**1**


**⋅**


**r**


**n**


**−**


**1**


**a**


**n**


**=**


**a**


**1**


**⋅**


**r**


**n**


**–**


**1**


**.**


**Geometric Sequence:** 


**r**


**=**


**5**


