由a5*a(2n-5)=2^(2n)
可得a1*q^4*a(2n-5)=a1*a(2n-1)=2^(2n)
则 log2 a1+log2 a3+.+log2 a(2n-1)
=log2(a1*a2*a3*.*a(2n-1))
=log2((a1*a(2n-1))^(n/2))
=log2(2^((2n)*(n/2)))
=n^2
由a5*a(2n-5)=2^(2n)
可得a1*q^4*a(2n-5)=a1*a(2n-1)=2^(2n)
则 log2 a1+log2 a3+.+log2 a(2n-1)
=log2(a1*a2*a3*.*a(2n-1))
=log2((a1*a(2n-1))^(n/2))
=log2(2^((2n)*(n/2)))
=n^2