# Math Help - show monotone and bounded by induction

1. ## show monotone and bounded by induction

Suppose { $a_n$} is defined by $a_{n+1}$= sqrt(2+ $a_n$)
Show by induction that $a_n$<2.
Prove the limit.

$a_1$=sqrt(2) $a_2$=sqrt(2+(sqrt(2)))

2. What is $a_1$ ?