设首 项a1 公差d
则a4=a1+3d a3=a1+2d a5=a1+4d
a10=a1+9d 且a3,a5,a10成等比数列
得(a1+4d)^2=(a1+2d)(a1+9d)
即 d=0 或 d=-3a1/2
(1)当d=0时a1=a2=a3.=10
s20=10*20=200
(2)当d=-3a1/2 时,因为a4=10
得 a1=-20/7 d=30/7
s20=20*a1+n(n-1)d/2=5300/7
设首 项a1 公差d
则a4=a1+3d a3=a1+2d a5=a1+4d
a10=a1+9d 且a3,a5,a10成等比数列
得(a1+4d)^2=(a1+2d)(a1+9d)
即 d=0 或 d=-3a1/2
(1)当d=0时a1=a2=a3.=10
s20=10*20=200
(2)当d=-3a1/2 时,因为a4=10
得 a1=-20/7 d=30/7
s20=20*a1+n(n-1)d/2=5300/7