Akbıyık, MücahitAkbıyık, Seda Yamaç2021-12-222021-12-222021Notes on Number Theory and Discrete Mathematics Vol. 27, 2021, No. 3, 95–1032050-3121https://doi.org/10.7546/nntdm.2021.27.3.95-103The 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.enDe Moivre-type identityJacobsthal numbersBinet’s formulaArticle10.7546/nntdm.2021.27.3.95-103Q2WOS:000692998700010N/A