i have a1=1

a(n+1) = (5an+4)/(an+2) for n>=1

need to prove by induction on n that 0<an<4 .

course of action would be?

then n is subscript and (n+1) also subscript , i think i need to get it into the form an+2 =A an+1 + B an

where A and B are some fixed numbers?

thanks