Ploting two recurrence in the same figure/

Questions
,
1

Hi everyone!

I’m new to the Wolfram Forum community and it is a pleasure to be here.

I have a question for those who have expertise in the use of Mathematica.
If I have this two difference equations:

x_{n+1}=\frac{x_{n-1}}{2+x_{n}}, x_{0}=1,x_{-1}=1,\ n=0,1,...,

and

x_{n+1}=\frac{1.2x_{n}}{1+x_{n-1}}x_{0}=1,x_{-1}=1,\ n=0,1,...

Can I plot these two equations in the same figure?

2

Please check this very carefully before you even think of trusting this, make certain that I have not made any mistake in this. If I have made a mistake then perhaps you can guess what my thinking was and be able to correct this.

x[0]=1;x[1]=1;x[n_]:=x[n-2]/(2+x[n-1]);xtbl=Table[x[n],{n,0,10}]
y[0]=1;y[1]=1;y[n_]:=6/5 y[n-1]/(1+y[n-2]);ytbl=Table[y[n],{n,0,10}]
ListPlot[{xtbl,ytbl}]

Since the first two points of the two sequences are the same, the color of one of the dots will lay over the other dot for those, but the points are distinct for the rest of the sequences and thus the points will be separate.

3

Thank you very much!