(1)已知:a3=8
由bn=5有:5=2log4(a5)
则:a5=4^(5/2)=32
故an公比q为 (a5/a3)^(1/2)=2
故an=2^n
则bn=2log4(an)=n
(2)cn=1/(bn*bn+1)=1/(n*(n+1))
Scn=1/(1*2)+1/(2*3)+...+1/(n*(n+1))
=1-1/2+1/2-1/3+...+1/n-1/(n+1)
=1-1/(n+1)
=n/(n+1)
(3)由 lgdn+2lgbn=0有
dn=10^(lg(bn^(-2)))
=1/(n^2)
易知1/(n^2)=2)
则d2+d3+...+dn
