Science and Education Publishing Applied Mathematics and Physics 2333-4886 5 1 2017 2 10 Periodicity of Generalized Fibonacci-like Sequences 11 18 EN Alexander V. Evako "Dianet", Laboratory of Digital Technologies, Moscow, Russia AMP2017512 10.12691/amp-5-1-2 2016 10 21 2016 12 5 2017 2 8 Generalized Fibonacci-like sequences appear in finite difference approximations of the Partial Differential Equations based upon replacing partial differential equations by finite difference equations. This paper studies properties of the generalized Fibonacci-like sequence Fn+2=A+BFn+1+CFn. It is shown that this sequence is periodic with period T>2, if C= -1, |B|<2.