Quaternions and octonions of jacobsthal and jacobsthal lucas numbers

This study consist of five chapters. in the first chapter, the history of the number suquences is mentioned. İn the second chapter, the definition an dundamental properties of the number sequences are presented. in the third chapter quanternion algebra and octonion algebra are given and than, studies, of Jocobsthal and Jacobsthal Lucal number sequences on octonion and quaternion algebras of are presented. ın the fifth chapter the k generalitions of these number are mentioned and some of theirproperties are examined in detail. Moreover the k- Jacobsthal octonion and k- Jacobsthal lucas octonion obtanied similarly by the method of k-Jacobsthal quaternion andk-Jacobsthal lucas quaternion number sequences are introduced and some formulas covering several properties are derived.