The explicit formula for a Geometric Series can be written as:
![a_(n)= a_(1)(r)^(n-1)](https://img.qammunity.org/2019/formulas/mathematics/college/bppjpjs26by3ahucd4n3oxummkaxfbyeak.png)
Here,
![a_(1)=](https://img.qammunity.org/2019/formulas/mathematics/college/owxba34aa3v1vmb70lkxqvifx8muuvpo53.png)
First Term = 0.2
r = Common Ratio = - 0.06/0.2 = -0.3
Using these value in above formula, we can write the explicit formula of the sequence as:
So, option C gives the correct answer