数列5,55,555,5555,.的前n项和

2个回答

通项an=5(10^n-1)/9=5/9*10^n-5/9
Sn=5/9(10+10^2+...+10^n)-5/9n
=5/9*10(10^n-1)/(10-1)-5/9 n
=5/9*10/9*(10^n-1)-5/9n
=50/81 (10^n-1)-5/9 n