eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2014-07-23 2 4 119 124 10.12691/tjant-2-4-3 TJANT2014243 article Deepika Jhala jhala.deepika28@gmail.com 1 G.P.S. Rathore 2 Kiran Sisodiya 2 School of Studies in Mathematics, Vikram University, Ujjain (India) College of Horticulture, Mandsaur (M.P.) 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. http://pubs.sciepub.com/tjant/2/4/3/tjant-2-4-3.pdf k-jacobsthal numbers binet formula generating function