已知数列{an}满足3(an+1)+an=4(n>=1),且a1=9,其前n项和为Sn,则满足不等式{Sn-n-6}
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已知数列{an}满足3(an+1)+an=4(n>=1),且a1=9,其前n项和为Sn,则满足不等式{Sn-n-6}
已知数列{an}满足3(an+1)+an=4(n>=1),且a1=9,其前n项和为Sn,则满足不等式{Sn-n-6}
已知数列{an}满足3(an+1)+an=4(n>=1),且a1=9,其前n项和为Sn,则满足不等式{Sn-n-6}
对3a(n+1)+an=4 变形得:
3[a(n+1)-1]=-(an-1)
a(n+1)/an=-1/3
an=8*(-1/3)^(n-1)+1
Sn=8{1+(-1/3)+(-1/3)^2+……+(-1/3)^(n-1)]+n
=6-6*(-1/3)^n+n
|Sn-n-6|=|-6*(-1/3)^n|
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