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Based on a large Fermi blazar sample, the blazar sequence (synchrotron peak frequency v(peak) versus synchrotron peak luminosity L-peak) is revisited. It is found that there is significant anticorrelation between v(peak) and L-peak for blazars. However, after Doppler correction the anticorrelation disappears. The jet cavity power (P-jet) is estimated from the extended radio luminosity so that it is free of beaming effects. We find that there are significant anticorrelations between P-jet and the beam-corrected v(peak)' for both blazars and radio galaxies, which supports the blazar sequence and the unification of blazars and radio galaxies (an alternative relationship is the correlation between jet power and gamma-ray photon index).