Converge problem

[Buddy711]

hi all.
I am very confusing there exists such a convergent number of this equation.

x[n] = 0.5(x[n-1]+x[n-2])

with the initial value x[0]=3, x[1]=5
if n goes infinity, x[n] may go to 13/3.

How can I approach this problem?

thanks.

[Gib Z]

You have described a recurrence relation and proposed a limit for it, but we don't know the question you are asking?

Are you asking whether or not that sequence converges at all, or to that particular numer 13/3 ? What is the exact wording of the problem you were given?

Furthermore: This isnt even the Homework help section! Please in the future create these threads in that section.