(1+0.1)+(2+0.1*2)+(3+0.1*3)+...+(99+0.1*99)+(100+0.1*100)

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/28 12:47:09
(1+0.1)+(2+0.1*2)+(3+0.1*3)+...+(99+0.1*99)+(100+0.1*100)

(1+0.1)+(2+0.1*2)+(3+0.1*3)+...+(99+0.1*99)+(100+0.1*100)
(1+0.1)+(2+0.1*2)+(3+0.1*3)+...+(99+0.1*99)+(100+0.1*100)

(1+0.1)+(2+0.1*2)+(3+0.1*3)+...+(99+0.1*99)+(100+0.1*100)
(1+0.1)+(2+0.1*2)+(3+0.1*3)+...+(99+0.1*99)+(100+0.1*100)
=(1+2+3+……+99+100)+0.1*(1+2+3+……+99+100)
=(1+100)*100/2+0.1*(1+100)*100/2
=5050+505
=5555

(1+2.1)+(2+2.1*2)+(3+2.1*3)+.......+(99+2.1*99)+(100+2.1*100)
=(1+2+......+100)+2.1(1+2+3+......100)
=(1+100)*100/2+2.1*5050
=15655

原式=(1+2+3+......+100)+0.1(1+2+3+......+100)=1.1(1+2+3+......+100)=1.1*5050=5555

(1+0.1)+(2+0.1*2)+(3+0.1*3)+...+(99+0.1*99)+(100+0.1*100)
=(1+2+3+……+100)+0.1×(1+2+3+……+100)
=5050+ 0.1×5050
=5050+505
=5555

5050+1/9