# Math Help - Does the series converge?

1. ## Does the series converge?

Summation from n=1 ti infinity of (sin(1))^n.

How can I break this up? I think it will be a geometric series...

2. $\left| r \right| < 1 \Rightarrow \quad \sum\limits_{n = 1}^\infty {r^n } = \frac{r}{{1 - r}}$

3. I thought it was r ^ (n-1)? And what is my r and my a?

4. Originally Posted by veronicak5678
Summation from n=1 ti infinity of (sin(1))^n.

How can I break this up? I think it will be a geometric series...
$|\sin(1)|=|r|<1\Rightarrow\sum)_{n=1}^{\infty}\sin ^n(1)=\frac{\sin(1)}{1-\sin(1)}$

5. Got it. Thank you!