已知等差数列an的公差d≠0,且a1,a5,a9成等比数列,则(a1+a3+a9)/(a2+a4+a10)=
问题描述:
已知等差数列an的公差d≠0,且a1,a5,a9成等比数列,则(a1+a3+a9)/(a2+a4+a10)=
答
a5=a1+4d
a9=a1+8d
a9/a5=a5/a1
a5^2=a1*a9
a1^2+8*a1*d+16*d^2=a1^2+8*a1*d
16*d^2=0 -> d=0
...
不明白哈