等差数列{an}的公差d不等于0,a3^2=a1a9,则a1+a3+a9/a2+a4+a10的值为

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等差数列{an}的公差d不等于0,a3^2=a1a9,则a1+a3+a9/a2+a4+a10的值为等差数列{an}的公差d不等于0,a3^2=a1a9,则a1+a3+a9/a2+a4+a10的值为等差

等差数列{an}的公差d不等于0,a3^2=a1a9,则a1+a3+a9/a2+a4+a10的值为
等差数列{an}的公差d不等于0,a3^2=a1a9,则a1+a3+a9/a2+a4+a10的值为

等差数列{an}的公差d不等于0,a3^2=a1a9,则a1+a3+a9/a2+a4+a10的值为
因为a3^2=a1*a9
所以a3^2=(a3-2d)(a3+6d)
d=3a3
a1+a3+a9/a2+a4+a10=a3+2a5/a4+2a6
=a3+2(a3+2d)/a3+d+2(a3+3d)
=a3+2*7a3/a3+2*10a3
=15a3/21a3
=5/7

a3^2=a1a9
(a1+2d)^2=a1(a1+8d)
4d^2=4da1
d=a1
(a1+a3+a9)/(a2+a4+a10)
=(a1+a1+2d+a1+8d)/(a1+d+a1+3d+a1+9d)
=(3a1+10d)/(3a1+13d)
=(3a1+10a1)/(3a1+13a1)
=13/16

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