题目内容
已知函数f(x)=
,数列{an}满足a1=1,an+1=f(an)(n∈N*).
(1)求数列{an}的通项公式an;
(2)若数列{bn}满足bn=2nanan+1,Sn=b1+b2+…+bn,求证:Sn<1.
(1)an=
(2)略
练习册系列答案
相关题目
题目内容
已知函数f(x)=
,数列{an}满足a1=1,an+1=f(an)(n∈N*).
(1)求数列{an}的通项公式an;
(2)若数列{bn}满足bn=2nanan+1,Sn=b1+b2+…+bn,求证:Sn<1.
(1)an=
(2)略