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数列{an}中,a1=-27,an+1+an=3n-54,求数列{an}的通项公式
人气:294 ℃ 时间:2019-08-18 01:21:16
解答
a(n+1)=-an+3n-54a(n+1)+x(n+1)+y=-an+3n-54+x(n+1)+ya(n+1)+x(n+1)+y=-[an-(3+x)n+54-x-y]令x=-(3+x)y=54-x-yx=-3/2,y=111/4a(n+1)-3/2(n+1)+111/4=-(an-3/2*n+111/4)[a(n+1)-3/2(n+1)+111/4]/(an-3/2*n+111/4)=-1...
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