本文探求下列两类分式型递推数列的通项:(1)形如an+1=(an2+A)/(2an+B),已知a1的值;(2)形如an+2=(an+12+A)/an,已知a1,a2的值.定理1若数列{an}的递推式为an+1=(an2+A)/(2an+B),设α, This paper explores the generalizations of the following two types of fractional recursive sequences: (1) The value of a1 is known as an + 1 = (an2 + A) / (2an + B) = (an + 12 + A) / an, we know the values ​​of a1 and a2 Theorem 1 If the recursion of {an} is an + 1 = (an2 + A) / (2an + B)