等比数列AN中,SN=3的n次方+a,则a的值为
人气:118 ℃ 时间:2019-08-28 08:33:57
解答
Sn=3^n+a
a1=S1=3+a
a2=S2-S1=9+a-(3+a)=6
a3=S3-S2=(27+a)-(9+a)=18
{an}是等比数列
所以 a2/a1=a3/a2
所以 6/(3+a)=18/6
所以 a=-1
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