We compute the activation gaps for fractional quantum Hall states at f
illing fractions nu = n/(2n + 1) incorporating modifications in the in
teraction potential due to the nonzero transverse width of the electro
n wave function and find good agreement with experiments in high-mobil
ity samples with high density. The results also shed light on the myst
erious enhancement of the composite fermion mass for fractions with la
rge n.