a1=a,a(n+1)=r*an+sn+t 能不能构造辅助数列求通项公式

a1=a,a2=r*a1+s+t=r*a+s+t a(n+1)=r*an+sn+t 设[a(n+1)+x(n+1)+y]/[an+xn+y]=r 即a(n+1)=r*an+(xr-x)n+ry-x-y 所以xr-x=s,ry-x-y=t 解得:x=s/(r-1),y=[(r-1)t+s]/(r-1)^2 所以当x=s/(r-1),y=[(r-1)t+s]/(r-1)^2时 [a...