  Lie n-algebroids and Lie infinity algebroids are usually thought of
exclusively in supergeometric or algebraic terms. In this work, we apply the
higher derived brackets construction to obtain a geometric description of Lie
n-algebroids by means of brackets and anchors. Moreover, we provide a geometric
description of morphisms of Lie n-algebroids over different bases, give an
explicit formula for the Chevalley-Eilenberg differential of a Lie n-algebroid,
compare the categories of Lie n-algebroids and NQ-manifolds, and prove some
conjectures of Sheng and Zhu [SZ11].
