等比数列{An}前n项和为Sn,满足Sn=k*(3的n次方)+1,求k?

问题描述:

等比数列{An}前n项和为Sn,满足Sn=k*(3的n次方)+1,求k?

a1=s1=3k+1
a2=S2-s1=6k
a3=s3-s2=18k
a1*a3=a2^2
(3k+1)*18k=36k^2
k^2+k=0
k=0舍去,
得:k=-1