On the difference equation x_n+1=ax_n^2+bx_n-1x_n-k cx_n^2+dx_n-1x_n-k , volume=4, url=https://www.sjm.anubih.ba/index.php/sjm/article/view/367, DOI=10.5644/SJM.04.2.09, abstractNote= In this paper we investigate the global convergence result, boundedness, and periodicity of solutions of the recursive sequence equation* x_n+1=ax_n^2+bx_n-1x_n-k cx_n^2+dx_n-1x_n-k , n=0,1,… equation* where the parameters a,b,c and d are positive real numbers and the initial conditions x_-k,x_-k+1,…,x_-1 and x_0 are arbitrary positive numbers. 2000 Mathematics Subject Classification. 39A10 , number=2, journal=Sarajevo Journal of Mathematics, author=Elabbasy, E. M. and El-Metwally, H. and Elsayed, E.M., year=2024, month=Jun., pages=239–248