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Using both the Gaussian and Fetters variational calculations for the N-body ground-state wavefunction of the trapped Bose-Einstein condensate, we give explicit analytic formulae for the spectrum of finite bosons in harmonic potentials based on the corrected sum rules and generalized virial identities. We compare the low-lying excitation spectra among the Gaussian and Fetters variational calculations and the exact numerical results. The Gaussian approximation has the simplest reasonable results, valid for N →∞ and high-lying excitations.