Can someone explain how I should be solving for theses terms? I got my series to be $10(-7x)^n$, but I dont know what to do from there.
Represent the function $f(x)=\frac{10}{(1-7x)}$ as a power series $$f(x)=\sum_{n=0}^\infty c_nx^n$$
Find the following coefficients:
$c_0=\color{green}{10(-7(2))^0}\\c_1=\\c_2=\\c_3=\\c_4=$
Find the radius of convergence
$R=$