Application of recurrent relationships in approximation of physico-chemical properties of any homologues of organic compounds

Simplest linear (first order) recurrent relationships A(n+1) = a A(n) + b have been proposed recently for approximation of any physicochemical constants (A) of organic compounds within different homologous series. Moreover, the same relationships provide the high precision of approximation not only within series of linear single-row homologues (RX), but for isomers with branched carbon skeletons within multi-row series (RnY n >= 2), as well as within so-called "inculcation" [X(CH2)(m)Y, m not equal const] and cyclic homologous series [cyclo-(CH2)(k)Z, k not equal const].