$(-1)^n × 2^{1/n}$
Is it possible to convert this into the form $ar^{n-1}$? I am not so sure on how to convert this. Can someone give me hints or someone guide me in solving this problem. Additionally, if I were to test this series (summation from $n = 1$ to $\infty$ of $(-1)^n × 2^{1/n}$. How would I know if it will converge or diverge?