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We study Waring rank decompositions for cubic forms of rank $n+2$ in $n+1$variables. In this setting, we prove that if a concise form has more than onenon-redundant decomposition of length $n+2$, then all such decompositions shareat least $n-3$ elements, and the remaining elements lie in a specialconfiguration. Following this result, we give a detailed description of the$(n+2)$-th Terracini locus of the third Veronese embedding of $n$-dimensionalprojective space.

Decompositions and Terracini loci of cubic forms of low rank