Hi, I'm having a lot of trouble with the following problem:

let $\displaystyle a_1 = 2 $ and $\displaystyle a__(n+1)$ $\displaystyle = \frac{4a_(n-1) - 3} {a_n} for n \geq 1.$ Show that $\displaystyle 1 \leq a_n \leq a_(n+1) \leq 3$ for all $\displaystyle n \geq 1$

I am very confused about how to actually show that the above statement is true in the form of a proof, and would greatly appreciate any help.