The Intrinsicality of Lie Symmetries ofu^(k)_n(t) = F_n(t, u_{n + a},...,u_{n + b})

Discrete dynamical systems (DDSs) of the formu^(k)_n(t)=F_n(t,u_n+a,...,u _n+b) withk≥2 are studied for their Lie symmetries. We show that while there are DDSs admitting nonintrinsic Lie symmetries, locally analytic Lie symmetries of the DDSs in the above form must be intrinsic unless the DDSs are linear or weakly linear. These will thus provide great impetus for symmetry practitioners to concentrate on finding mainly the intrinsic Lie symmetries for practical DDSs.