已知数列{log2(an-1)}(n∈N*)为等差数列,且a1=3,a3=9.(1)求数列{an}的通项公式;...
问题详情：已知数列{log2(an-1)}(n∈N*)为等差数列,且a1=3,a3=9.(1)求数列{an}的通项公式;(2)*:+…+<1.【回答】(1)解设等差数列{log2(an-1)}的公差为d.由a1=3,a3=9,得log22+2d=log28,即d=1.∴log2(an-1)=1+(n-1)×1=n,...
问题详情：已知数列{log2(an-1)}(n∈N*)为等差数列,且a1=3,a3=9.(1)求数列{an}的通项公式;(2)*:+…+<1.【回答】(1)解设等差数列{log2(an-1)}的公差为d.由a1=3,a3=9,得log22+2d=log28,即d=1.∴log2(an-1)=1+(n-1)×1=n,...