ABSTRACT: A class of recursive equations extending those of the form yn=(yn−2yn−1−1)/(yn−2+yn−1) is transformed into a special case of the nonlinear recursive equation xn=cxn−1h1(n)xn−2h2(n)...xn−l+1hl−1(n)xn−lhl(n). A general solution of this equation is determined by solving its associated linear difference equation. Several known results are derived as special cases. Connections of the case l=2 to continued fractions are elaborated.