在等比数列{An}中a1=2,前n项和为Sn,若数列{An+1}也是等比数列,则Sn= 资源ID: 在等比数列{An}中a1=2,前n项和为Sn,若数列{An+1}也是等比数列,则Sn= 设公比为Q则在{凳尘消An}中a1=2,a2=2Q,a3=2Q^2数列{An+1}也是等比数列,在这个数列中a1+1=3,a2+1=2Q+1,a3+1=2Q^2+1故枣知有(2Q+1)^2=3(2Q^2+1)解得Q=1,可见是兄散常数数列故Sn= 2n A1 = 2A2 = 2+ DA3 = 2+ 2D(A1+1)*(A3+1) = 9 + 6D = (3+D)^2 = D^2 + 6D + 9D = 0Sn = n* A1 = 2n ← 上一篇: 下一篇: →