We present explicitly the variation of the resonant widths of doubly excited states as functions of the effective principal quantum number v along the autoionization series for two-electron and divalent atoms. Our calculation shows that the resonant widths of both even- and odd-parity series of He below the N = 2 threshold and the 1P series of Be and Be-like C^(+2) ion below the 2p threshold vary smoothly as functions of v and approach approximately an expected v^(-3) -dependence as v increases. The theoretical results in He series also compare very well with some of the most accurate existing theoretical results.