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数学
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已知数列2^(n-1)an前n项和为Sn=9-6n,则数列an的通项公式
人气:405 ℃ 时间:2019-10-26 21:56:58
解答
n=1时,2^(1-1) ×a1=S1=9-6×1a1=3n≥2时,2^(n-1)×an=Sn-S(n-1)=9-6n-[9-6(n-1)]=-6an=-6/2^(n-1)=-3/2^(n-2)n=1时,a1=-3/2^(1-2)=-6≠3,不满足通项公式数列{an}的通项公式为an=3 n=1-3/2^(n-2) n≥2...
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