Does the series $\displaystyle {\sum_{{{k}={6}}}^{{\infty}}}\ \frac{{1}}{{k}}$ converge absolutely, converge conditionally or diverge?

Does the series $\displaystyle {\sum_{{{k}={6}}}^{{\infty}}}\ \frac{{\left(-{1}\right)}^{{k}}}{{k}}$ converge absolutely, converge conditionally or diverge?