  Measurements of the yield and nuclear modification factor, $R_\mathrm{ AA}$,
for inclusive jet production are performed using 0.49 nb$^{-1}$ of Pb+Pb data
at $\sqrt{s_\mathrm{NN}} = 5.02$ TeV and 25 pb$^{-1}$ of $pp$ data at
$\sqrt{s}=5.02$ TeV with the ATLAS detector at the LHC. Jets are reconstructed
with the anti-$k_t$ algorithm with radius parameter $R=0.4$ and are measured
over the transverse momentum range of 40-1000 GeV in six rapidity intervals
covering $|y|<2.8$. The magnitude of $R_\mathrm{ AA}$ increases with increasing
jet transverse momentum, reaching a value of approximately 0.6 at 1 TeV in the
most central collisions. The magnitude of $R_\mathrm{ AA}$ also increases
towards peripheral collisions. The value of $R_\mathrm{ AA}$ is independent of
rapidity at low jet transverse momenta, but it is observed to decrease with
increasing rapidity at high transverse momenta.
