
因为公差是2,所以设an = a0 + 2n,其中a0为常数。则S1 = a1 = a0 + 2S2 = a1+a2 = 2a0 + 2 + 4 = 2a0 + 6S3 = a1+a2+a3 = 3a0 + 2 + 4 + 6 = 3a0 + 12由于S1,S2,S3成等比数列,所以S2*S2 = S1*S3即(2a0+6)^2 = (a0+2)(3a0+12)4a0^2 + 24a0 + 36 = 3a0^2 + 18a0 + 24a0^2 + 6a0 + 12 = 0此方程无实数解?!

因为公差是2,所以设an = a0 + 2n,其中a0为常数。则S1 = a1 = a0 + 2S2 = a1+a2 = 2a0 + 2 + 4 = 2a0 + 6S3 = a1+a2+a3 = 3a0 + 2 + 4 + 6 = 3a0 + 12由于S1,S2,S3成等比数列,所以S2*S2 = S1*S3即(2a0+6)^2 = (a0+2)(3a0+12)4a0^2 + 24a0 + 36 = 3a0^2 + 18a0 + 24a0^2 + 6a0 + 12 = 0此方程无实数解?!