等差数列,
问题描述:
等差数列,
在各项不为0的等差数列AN中,A(n+1)-An^2+A(n-1)等于0(N大于等于2),则A(2N-1)-4n等于多少(答案是-2)
答
an+1-an^2+an-1=0,an+1+an-1=2an,2an-an^2=0,an(2-an)=0,an=2.
S2n-1=2(2n-1)=4n-2.(S2n-1)-4n=4n-2-4n=-2