Akbiyik, MucahitAkbiyik, Seda Yamac2024-09-112024-09-1120211310-51322367-8275https://doi.org/10.7546/nntdm.2021.27.3.95-103https://hdl.handle.net/11363/8141The main aim of this study is to obtain De Moivre-type identities for Jacobsthal numbers. Also, this paper presents a method for constructing the second order Jacobsthal and Jacobsthal third-order numbers and the third-order Jacobsthal and Jacobsthal-Lucas numbers. Moreover, we give some interesting identities, such as Binet's formulas for some specific third-order Jacobsthal numbers that we derive from De Moivre-type identities.eninfo:eu-repo/semantics/openAccessDe Moivre-type identityJacobsthal numbersBinet's formulaArticle2739510310.7546/nntdm.2021.27.3.95-103N/AWOS:000692998700010N/A