已知数列{an}中.a1=1,n大于等于2时.其前n项和Sn满足Sn^2=an(Sn-1/2).求证:数列{1/Sn}是等差数列.
问题描述:
已知数列{an}中.a1=1,n大于等于2时.其前n项和Sn满足Sn^2=an(Sn-1/2).求证:数列{1/Sn}是等差数列.
答
已知数列{an}中.a1=1,n大于等于2时.其前n项和Sn满足Sn^2=an(Sn-1/2).求证:数列{1/Sn}是等差数列.