A(n+1)=2An+1A(n+1)+1=2An+2=2(An+1)A1+1=1+1=2数列{An+1}是以2为首项,2为公比的等比数列An+1=2^nAn=2^n-1n=1时,A1=1也满足上式An/A(n+1)=(2^n-1)/(2^(n+1)-1)分式上下同除(2^n-1)An/A(n+1)=1/(2+1/(2^n-1))n>=1时,2...