Aksoy, AycanTuran, MehmetMathematics2024-07-052024-07-0520151513-187410.2306/scienceasia1513-1874.2015.41.3502-s2.0-84950323949https://doi.org/10.2306/scienceasia1513-1874.2015.41.350https://hdl.handle.net/20.500.14411/789Turan, Mehmet/0000-0002-1718-3902The boundedness and semi-cycle analysis of positive solutions, existence of period-2 solutions, and local and global asymptotic stability of the recursive sequence x(n+1) = alpha + beta x(n-1) + x(n-1)/x(n), n = 0,1,... are investigated where alpha is an element of [0, infinity), beta is an element of [0, 1) and the initial conditions x(-1) and x(0) are arbitrary positive real numbers. The paper concludes with some numerical examples to illustrate the theoretical results.eninfo:eu-repo/semantics/openAccessrecursion relationstabilityboundednessArticleQ3Q2415350356WOS:0003672817000091