# Math Help - Sequence Question

1. ## Sequence Question

We define a sequence recursively in the following way.

$s_1=2$

and

$s_n=\sqrt{3+2_{s_{n-1}}}$ for $n>1$

1. Show that ${s_n}$ is an increasing sequence.
2. show that ${s_n}$ is bounded from above
3.Compute $\lim_{n\rightarrow \infty}$ of $s_n$

2. Do this by induction.
$s_K < s_{K + 1} \Rightarrow \quad s_{K + 1} < s_{K + 2}
$