Luminosity distance ratio (R) of a fifth-order cosmographic expansion of a flat ΛCDM model to the model itself, for different values of Ω_M, 0. In each case the expansion very precisely reproduces the cosmological model for z < 1 (R = 1). The discrepancy from R = 1 at z > 1 depends on the specific value of Ω_M, 0: the worst case is for Ω_M, 0 = 0.28, while the best case is for Ω_M, 0 = 0.9.