TY - JOUR AU - Sabra, Ramadan AU - Al-Ashhab, Saleem Shafiq PY - 2015 TI - Nonlinear Piecewise-Defined Difference Equations with Reciprocal Quadratic Terms JF - Journal of Mathematics and Statistics VL - 11 IS - 3 DO - 10.3844/jmssp.2015.88.92 UR - https://thescipub.com/abstract/jmssp.2015.88.92 AB - In this study we consider the several types of piece-wise defined sequences. We prove some results concerning the behavior of the sequence. In some cases we prove that the terms repeat themselves in certain patterns and we prove in other cases that the terms grow monotonically after few terms and approaches infinity.