(a6)^2=a3*a10
(a4+2d)^2=(a4-d)*(a4+6d)
(10+2d)^2=(10-d)*(10+6d)
4d^2+40d+100=100+50d-6d^2
4d^2+40d=50d-6d^2
10d^2-10d=0
d(d-1)=0
d=0或d=1
公差不为0
所以d=1
a4=a1+3d
10+a1+3*1
a1=7
an=a1+(n-1)d
=7+n-1
=n+6
s=1/7*8+1/8*9+1/9*10+.+1/(n+6)(n+7)
=1/7-1/8+1/8-1/9+1/9-1/10+.+1/(n+6)-1/(n+7)
=1/7-1/(n+7)
=(n+7)/[7(n+7)]-7/[7(n+7)]
=(n+7-7)/(7n+49)
=n/(7n+49)