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On A Jacobsthal-Like Sequence Associated with KJacobsthal-Lucas SequenceÖzkan, E.Kuloğlu, B.Generalized Jacobsthal sequenceJacobstal-Like sequenceJacobsthal sequencek Jacobsthal-Lucas sequenceWe introduce a new generalization of the known Jacobstal sequence and we call Jacobstal-Like sequence 〈Jk,n〉 and then we study on Jacobstal-Like sequence〈Jk,n〉 and kJacobsthal-Lucas sequence 〈jk,n〉 side by side by introducing two special matrices for these sequences. After that, by using these matrices we obtain Binet formula for Jacobstal-Like sequence 〈Jk,n〉 Further, we get Cassini identity for Jacobstal-Like sequence 〈Jk,n〉. Also we establish some of the interesting properties of Jacobstal-Like sequence. Then we give a limit for Jacobstal-Like sequence 〈Jk,n〉. © 2011 JCAM All rights reserved.Baku Engineering University2020Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/135082222-5498enJournal of Contemporary Applied Mathematicsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/13508