Our aim in this paper is to investigate the convergence of solutions of the
nonlinear di§erence equation xn+1 = xnxn1
1; n = 1; 2; : : :, where the initial
conditions x1;
x0 are in the interval (1;
0). We show that every solution of this
equation converges to the unique negative equilibrium x = (1
p
5)=2.