  Based on the WZ method, some series acceleration formulas are given. These
formulas allow to write down an infinite family of parametrized identities from
any given identity of WZ type. Further, this family, in the case of the Riemann
Zeta function, gives rise to many accelerated expressions for $\zeta(3)$.
  The present method produced a formula, given at the end of the paper, that
was used recently Sebastian Wedeniwski to compute Apery's constant to more than
32 million digits, holding the present record!
