2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/74383In this paper we construct the q-analogue of Barnes' Bernoulli numbers and plynomials of degree 2, which is an answer to a part of Schlosser's question. Finally, we treat the q-analogue of the sums of powers of consecutive integrs.10 pagesNumber Theory11B68A note on the sums of powers of consecutive q-integerstext