摘要:当n=1时.a1=S1=3×12-2=6×1-5.所以.an=6n-5 ()
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已知数列{an}满足:,且对任意a1=1,n∈N*,有an+an+1+(-1)n+1an•an+1=0.
(1)求数列{an}的通项公式;
(2)证明:当n>1时,
≤a1+a2+…+an<1;
(3)设bn={a1a2…an},函数fn(x)=1+b1x+b2x2+…+bnx2n,n∈N*,证明你对任意的n∈N*,函数fn(x)无零点.
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已知数列{an}满足:,且对任意a1=1,n∈N*,有an+an+1+(-1)n+1an•an+1=0.
(1)求数列{an}的通项公式;
(2)证明:当n>1时,
≤a1+a2+…+an<1;
(3)设bn={a1a2…an},函数fn(x)=1+b1x+b2x2+…+bnx2n,n∈N*,证明你对任意的n∈N*,函数fn(x)无零点.
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(1)求数列{an}的通项公式;
(2)证明:当n>1时,
(3)设bn={a1a2…an},函数fn(x)=1+b1x+b2x2+…+bnx2n,n∈N*,证明你对任意的n∈N*,函数fn(x)无零点.
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(2008•广州二模)已知函数f(x)=
(x>0)
(1)当x1>0,x2>0且f(x1)•f(x2)=1时,求证:x1•x2≥3+2
(2)若数列{an}满足a1=1an>0an+1=f(an)(n∈N*)求数列{an}的通项公式.
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| x2 |
| 2x+1 |
(1)当x1>0,x2>0且f(x1)•f(x2)=1时,求证:x1•x2≥3+2
| 2 |
(2)若数列{an}满足a1=1an>0an+1=f(an)(n∈N*)求数列{an}的通项公式.