已知数列{an}的前n项和Sn=n^2-9n,第k项满足5

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已知数列{an}的前n项和Sn=n^2-9n,第k项满足5已知数列{an}的前n项和Sn=n^2-9n,第k项满足5已知数列{an}的前n项和Sn=n^2-9n,第k项满足5因为Sn=n^2-9n,则

已知数列{an}的前n项和Sn=n^2-9n,第k项满足5
已知数列{an}的前n项和Sn=n^2-9n,第k项满足5

已知数列{an}的前n项和Sn=n^2-9n,第k项满足5
因为Sn=n^2-9n,则S(n-1)=(n-1)^2-9(n-1),则an=2n-10,
又s1=a1=1-9=-8,则k不是1,
所以ak=2k-10,即5

先用Sn-S(n-1)=an,得到an=2n-10,所以5<2k-10<8,得到7.5

ak=sk-s(k-1)
=k^2-9k-(k-i)^2+9(k-1)
=2k-10
5所以;k=8