The present invention provides a reactor system having: (1) a plurality of reactors connected in fluid flow communication and having at least one pair of reactors separated by an interstage position; (2) a line for supplying a reactant feed stream separately to an inlet of more than one of the plurality of reactors; and (3) a diverter in fluid communication with the interstage position and capable of directing a first portion of a product stream exiting one reactor in said pair of reactors to a first location and a second portion of the product flow stream to an inlet of another reactor in said pair of reactors.