2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/111513In this paper we construct a new q-Euler numbers and polynomials. By using these numbers and polynomials, we give the interesting formulae related to alternating sums of powers of consecutive q-integers following an idea due to Euler.6 pagesNumber Theory11B68, 11S80A note on the alternating sums of powers of consecutive q-integerstext