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        1. 2) 若數(shù)列{}既是等差數(shù)列也是等比數(shù)列.則{}為常數(shù)列, 查看更多

           

          題目列表(包括答案和解析)

          若數(shù)列的前n項(xiàng)和Sn=a1+a2+…+an,滿足條件log2Sn=n,那么{an}是(    )

          A.公比為2的等比數(shù)列                B.公比為的等比數(shù)列

          C.公差為2的等差數(shù)列                D.既不是等差數(shù)列也不是等比數(shù)列

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          設(shè)數(shù)列{}的前n項(xiàng)和為Sn(n∈N?),關(guān)于數(shù)列{}有下列四個(gè)命題:

          (1)若{}既是等差數(shù)列又是等比數(shù)列,則an=an+1(n∈N*);

          (2)若Sn=An2+Bn(A,B∈R,A、B為常數(shù)),則{}是等差數(shù)列;

          (3)若Sn=1-(-1)n,則{}是等比數(shù)列;

          (4)若{}是等比數(shù)列,則Sm,S2m-Sm,S3m-S2m(m∈N*)也成等比數(shù)列;其中正確的命題的個(gè)數(shù)是

              A.4              B.3              C.2              D.1

           

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          設(shè)數(shù)列{}的前n項(xiàng)和為Sn(n∈N?),關(guān)于數(shù)列{}有下列四個(gè)命題:
          (1)若{}既是等差數(shù)列又是等比數(shù)列,則an=an+1(n∈N*);
          (2)若Sn=An2+Bn(A,B∈R,A、B為常數(shù)),則{}是等差數(shù)列;
          (3)若Sn=1-(-1)n,則{}是等比數(shù)列;
          (4)若{}是等比數(shù)列,則Sm,S2m-Sm,S3m-S2m(m∈N*)也成等比數(shù)列;其中正確的命題的個(gè)數(shù)是
          A.4              B.3             C.2              D.1

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          設(shè)數(shù)列{an}的前n項(xiàng)和為Sn(n∈N?),關(guān)于數(shù)列{an}有下列四個(gè)命題:

          (1)若{an}既是等差數(shù)列又是等比數(shù)列,則an=an+1(n∈N*);

          (2)若Sn=An2+Bn(A,B∈R,A、B為常數(shù)),則{an}是等差數(shù)列;

          (3)若Sn=1-(-1)n,則{an}是等比數(shù)列;

          (4)若{an}是等比數(shù)列,則Sm,S2 m-Sm,S3 m-S2 m(m∈N*)也成等比數(shù)列;其中正確的命題的個(gè)數(shù)是

          [  ]

          A.4

          B.3

          C.2

          D.1

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          已知數(shù)列{an}的前n項(xiàng)和為Sn,若對(duì)于任意n∈N*,點(diǎn)Pn(n,Sn)都在直線y=3x+2上,則數(shù)列{an}(  )

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