Find the values of the constant $c$ in each case so that the Strong Law of Large Numbers holds for each sequence of independent random variables $\{X_n\}$:
(i) $P(X_n=\pm c^n)=\left(\dfrac{2}{3}\right)^{n+1},\space P(X_n=0)=1-2\left(\dfrac{2}{3}\right)^{n+1}$
(ii) $P(X_n=\pm n^c)=\dfrac{1}{2n},\space P(X_n=0)=1-\dfrac{1}{n}$
I don't have any idea on what to do because I only know how to do for iid r.v.