  In this paper, I compute the last non-trivial term of the minimal free
resolution of the homogeneous ideal of $s$ points of $P^n$ in sufficiently
general position, for any $s$, showing that this term is the one conjectured by
the Minimal Resolution Conjecture of Anna Lorenzini. I use a geometrical
method, the "vectorial m\'ethode d'Horace" developped by Andr\'e Hirschowitz
and Carlos Simpson to get a proof of the MRC for $s$ large enough.
