已知等比数列{an}满足an>0,n=1,2,……,且a5*a(2n-5)=2^2n,则当n》1时,log2(a1)+l
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已知等比数列{an}满足an>0,n=1,2,……,且a5*a(2n-5)=2^2n,则当n》1时,log2(a1)+lo
已知等比数列{an}满足an>0,n=1,2,……,且a5*a(2n-5)=2^2n,则当n》1时,log2(a1)+log2(a3)+…+log2(a(2n-1))=
已知等比数列{an}满足an>0,n=1,2,……,且a5*a(2n-5)=2^2n,则当n》1时,log2(a1)+log2(a3)+…+log2(a(2n-1))=
![已知等比数列{an}满足an>0,n=1,2,……,且a5*a(2n-5)=2^2n,则当n》1时,log2(a1)+l](/uploads/image/z/16525277-53-7.jpg?t=%E5%B7%B2%E7%9F%A5%E7%AD%89%E6%AF%94%E6%95%B0%E5%88%97%7Ban%7D%E6%BB%A1%E8%B6%B3an%3E0%2Cn%3D1%2C2%2C%E2%80%A6%E2%80%A6%2C%E4%B8%94a5%2Aa%282n-5%29%3D2%5E2n%2C%E5%88%99%E5%BD%93n%E3%80%8B1%E6%97%B6%2Clog2%28a1%29%2Bl)
A5*A(2n-5)=2^(2n)(n≥3)
A1*Q^4 * A1*Q^(2n-6)=2^(2n)
A1^2*Q^(2n-2)=2^(2n)
An=2^n
所以log2(A1)+log2(A3)+……+log2[A(2n-1)]=1+3+……+(2n-1)=n*2n/2=n²
A1*Q^4 * A1*Q^(2n-6)=2^(2n)
A1^2*Q^(2n-2)=2^(2n)
An=2^n
所以log2(A1)+log2(A3)+……+log2[A(2n-1)]=1+3+……+(2n-1)=n*2n/2=n²
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