A sequence (Xn) is defined by X1=3 and Xn+1= (6Xn+1)/(2Xn+5) for all n[tex]\in[/tex] N.
Prove by induction or otherwise that Xn-1 > 0 for all n [tex]\in[/tex] N.
The Attempt at a Solution
I'm not sure with what to do when dealing with inequalities in an induction proof. Initial i tried subing in the recursion formula when attempting the inductive step but i dont think it gets me anywhere. I'd really appreciate any guidance on where to start.