Test the Series for Convergence or Divergence $$\sum _ { n = 2 } ^ { \infty } ( - 1 ) ^ { n } \frac { n } { 5 \ln n }$$

Test the series for convergence or divergence. $$\sum _ { n = 2 } ^ { \infty } ( - 1 ) ^ { n } \frac { n } { 5 \ln n }$$