一道数学题：设数列An是公差不为0的等差数列.前n项和是Sn,满足(a2)^2+(a3)^2=(a4)^2+(a5)^2

一道数学题：设数列An是公差不为0的等差数列.前n项和是Sn,满足(a2)^2+(a3)^2=(a4)^2+(a5)^2.S7=7.
则使得(a(m)乘a(m+1))/(a(m+2)) (含m项为下标）为数列An中的项所有正整数m的值是_____.2.