Science and Education Publishing Turkish Journal of Analysis and Number Theory 2 4 2014 07 23 Some Properties of k-Jacobsthal Numbers with Arithmetic Indexes 119 124 EN Deepika Jhala School of Studies in Mathematics, Vikram University, Ujjain (India) G.P.S. Rathore Kiran Sisodiya TJANT2014243 10.12691/tjant-2-4-3 2014 07 08 2014 07 17 2014 07 23 In this paper, we derive various formulae for the sum of k-Jacobsthal numbers with indexes in an arithmetic sequence, say an+r for fixed integers a and r Also, we describe generating function and the alternated sum formula for k-Jacobsthal numbers with indexes in an arithmetic sequence.