Coskun, Arzu.Taskara, Necati.2020-03-262020-03-262019Coskun, A., Taskara, N. (2019). The Matrix Sequence in terms of Bi-Periodic Fibonacci Numbers. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(2), 1939-1949.1303-5991https://doi.org/10.31801/cfsuasmas.571975https://hdl.handle.net/20.500.12395/38307In this paper, we define the bi-periodic Fibonacci matrix sequence that represent bi-periodic Fibonacci numbers. Then, we investigate generating function, Binet formula and summations of bi-periodic Fibonacci matrix sequence. After, we say that some behaviours of bi-periodic Fibonacci numbers can be obtained via the properties of this new matrix sequence. Finally, we express that well-known matrix sequences such as Fibonacci, Pell, k-Fibonacci matrix sequences are special cases of this generalized matrix sequence.eninfo:eu-repo/semantics/openAccessBi-periodic Fibonacci matrix sequencebi-periodic Fibonacci numbersBinet formulagenerating functionArticle68219391949#YOKWOS:000488869500060N/A