Geometric Series - absolutely convergent, conditionally convergent or divergent?

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How would I determine if the following series is absolutely convergent, conditionally convergent or divergent?

$\sum\limits_{i=1}^n$$\sqrt[n]{2}+1$

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Notice that $\lim_{n\rightarrow\infty}\sqrt[n]2+1=1+1=2\neq0$. Hence the series diverges.