A Simple State of Rational Recurrence Sequence

On the base of the study of Alaa E.Hamza and A.Morsy Alaa about the stability of the recursive sequence xn + 1= α +xn- 1xkn, n = 0,1,2,…, the general case that delay is k was investigated, the global stability and boundness of the recursive sequence xn + 1= α +xn- kxmn,n = 0,1,2,…was studied, and some judgment theorems of recursive sequence stability were obtained.