已知数列{an}是等差数列,数列{bn}是等比数列,Sn是数列{an}的前n项和,a1=b1=1,S2=.
(1)若b2是a1,a3的等差中项,求数列{an}与{bn}的通项公式;
(2)若an∈N+,数列{}是公比为9的等比数列,求证:+++…+<.