  We calculate the string tension and part of the mass spectrum of SU(4) and
SU(6) gauge theories in 2+1 dimensions using lattice techniques. We combine
these new results with older results for N=2,...,5 so as to obtain more
accurate extrapolations to N=infinity. The qualitative conclusions of the
earlier work are unchanged: SU(N) theories in 2+1 dimensions are linearly
confining as N->infinity; the limit is achieved by keeping g.g.N fixed; SU(3),
and even SU(2), are `close' to SU(infinity). We obtain more convincing evidence
than before that the leading large-N correction is O(1/N.N). We look for the
multiplication of states that one expects in simple flux loop models of
glueballs, but find no evidence for this.
