b^3n-1 c^2/a^2n+1×a^2n-1/b^3n-2=

b^3n-1 c^2/a^2n+1×a^2n-1/b^3n-2= 定义数列An=x^n+y^n+z^n,则A(n+3)-3A(n+2)+b*A(n+1)-c*An=0 a(n+1)=2an-a(n-1) 3bn-b(n-1)=n 分式计算：(b^3n-1 )*c/(a^2n+1)除以 (b^3n-2)/(a^2n) b^3n-1/a^2n-1×c÷b^3n-2/a^2n 计算：b^(3n-1)/a^(2n-1)×c÷b^(3n-2)/a^2n a^n-b^n=(a-b)[(a^(n-1)+a^(n-2)*b+...+a*b^(n-2)+b^(n-1)],n是整数 a^(n+1)b^n-4a^(n+2)+3ab^n-12a^2 已知1/n^2+3n=A/n+B/n+3,求ab? （a-b）（a^(n-1)-b^(n-1)）=(a-b)^2(a^(n-2)+a^(n-3)b+……+ab^(n-3)+ 已知Un=a^n+a^(n-1)b+a^(n-2)b^2+...+ab^(n-1)+b^n(n∈N*,a>0,b>0), 已知n为大于1的自然数,计算b^3n-1c^3/a^2n+1 *a^2n/b^3n-2