$\begin{align}
&S_1=\displaystyle\sum\limits_{n=1}^{\infty }{(-1)^n \sin(n+1)}
\\\\
&S_2=\displaystyle\sum\limits_{n=1}^{\infty }{\sin(n+1)}
\end{align}$
**Which series converges?**
[[☃ radio 1]]
**Based on your answer, what can we say about $S_1$?**
[[☃ radio 2]]