已知{an}是正数组成的数列,a1=1,且点(,an+1)(n∈N+)在函数y=x2+1的图象上.
(1)求数列{an}的通项公式;
(2)若列数{bn}满足b1=1,bn+1=bn+2an,
求证:bn·bn+2<b.
推荐套卷
已知{an}是正数组成的数列,a1=1,且点(,an+1)(n∈N+)在函数y=x2+1的图象上.
(1)求数列{an}的通项公式;
(2)若列数{bn}满足b1=1,bn+1=bn+2an,
求证:bn·bn+2<b.