  In this paper, we obtained the non-local residual symmetry related to
truncated Painlev\'e expansion of Burgers equation. In order to localize the
residual symmetry, we introduced new variables to prolong the original Burgers
equation into a new system. By using Lie's first theorem, we got the finite
transformation for the localized residual symmetry. More importantly, we also
localized the linear superposition of multiple residual symmetries to find the
corresponding finite transformations. It is interesting to find that the nth
Backlund transformation for Burgers equation can be expressed by determinants
in a compact way.
