On disjoint stationary sequences

We answer a question of Krueger by obtaining disjoint stationary sequences on successive cardinals. The main idea is an alternative presentation of a mixed support iteration, using it even more explicitly as a variant of Mitchell forcing. We also use a Mahlo cardinal to obtain a model in which ${\mathrm{\aleph }}_2\mathrm{\notin }I[{\mathrm{\aleph }}_2]$ and there is no disjoint stationary sequence on ${\mathrm{\aleph }}_2$, answering a question of Gilton.