设an是等差数列,bn是各项都为正数的等比数列,且a1=b1=1,a5+b3=13 a3+b5=21

设an=a1+(n-1)dbn=b1(n-1)^qa1=b1=1.(1)a5+b3=13.(2)a3+b5=21.(3)4d+q^2=12.(4)2d+q^4=20.(5)(5)*2-(4)得2q^4-q^2-28=0(q^2-4)(2q^2+7)=0q^2=4q=2d=2an=2n-1bn=2^(n-1) S=1/1+3/2+5/4+...+(2n-1)/2^(n-1)(1/2)S=1/2+...