A -nacci sequence in a finite group is a sequence of group elements for which, given an initial generating set for , each element is defined by
A -nacci sequence certainly reflects the structure of . A finite group is called -nacci sequenceable if there exists a -nacci sequence of such that every element of appears in the sequence. It is shown that a -nacci sequence in a finite group is simply periodic. This leads to a complete description of the 2-nacci sequenceable groups. A 2-nacci sequenceable group is cyclic.