  We study front propagation in the reversible reaction-diffusion system A + A
<-> A on a 1-d lattice. Extending the idea of leading particle in studying the
motion of the front we write a master equation in the stochastically moving
frame attached to this particle. This approach provides a systematic way to
improve on estimates of front speed obtained earlier. We also find that the
leading particle performs a correlated random walk and this correlation needs
to be taken into account to get correct value of the front diffusion
coefficient.
