Radius and boundary convergence of $\sum\frac{(-1)^n}{n}z^{n(n+1)}$

Show that the series

\[ \sum _ { n = 1 } ^ { \infty } { \frac { ( - 1 ) ^ { n } } { n } } z ^ { n ( n + 1 ) } \]

has radius of convergence 1. Examine convergence at \(z = 1 , - 1\) and i.