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Applying the transformation of fermion operators to new fermionquasiparticles introduced by Halperin, Lee, and Read we estimate a scalingbehavior of the ground state energy and quasiparticle gaps as a function offilling fraction for a "principal sequence" of FQHE $\nu={N\over{2N\pm 1}}$states converging towards the gapless state at half filling. The exponentdescribing the shape of the cusp $\delta E(\nu)\sim |\delta\nu|^{\eta}$ isfound to be greater than one and to depend nontrivially on the interactionpotential. The dependence of quasiparticle gaps agrees with the results ofrecent measurements by R.R.Du et al.Comment: 15 pages, TeX, C Version 3.0, preprint ETH-TH/93-3

Ground-state energy and quasiparticle gaps in ν=N/(2N±1) fractional-quantum-Hall-effect states