Yalcinkaya, IbrahimCinar, CengizAtalay, Muhammet2020-03-262020-03-2620081687-1839https://dx.doi.org/10.1155/2008/143943https://hdl.handle.net/20.500.12395/22547We show that every solution of the following system of di. erence equations x(n+1)((1)) = x(n)((2))/(x(n)((2))-1), x(n+1)((2)) = x(n)((3))/(x(n)((3))-1), ..., x(n+1)((k)) = x(n)((1))/(x(n)((1)) - 1) as well as of the system x(n+1)((1))= x(n)((k))/(x(n)((k)) -1), x(n+1)((2)) =x(n)((1))/(x(n)((1))-1), ..., x(n+1)((k))/(x(n)((k-1))-1) is periodic with period 2k if k not equal 0 (mod2), and with period k if k=0 (mod) where the initial values are nonzero real numbers for x(0)((1)), x(0)((2)), ..., x(0)((k)) not equal 1. Copyright (c) 2008. Ibrahim Yalcinkaya et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.en10.1155/2008/143943info:eu-repo/semantics/openAccessArticleQ2WOS:000258044500001Q3