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

发布于2022-02-20 14:02:05

简便方法解题

6个回答
admin
网友回答2022-02-20
(1+0.1)+(2+0.1*2)+(3+0.1*3)+.............+(99+0.1*99)+(100+0.1*99) =1.1*(1+2+3+……+99+100) =1.1*(1+100)*100/2 =55*101 =5555
admin
网友回答2022-02-20
(1+2+3+……100)+0.1*(1+2+3+……100)=1.1*(1+2+3…+100)
admin
网友回答2022-02-20
(1+0.1)+(2+0.1*2)+(3+0.1*3)+.............+(99+0.1*99)+(100+0.1*99) =1+2+3+...........+100+0.1+0.1*2+0.1*3+...........+0.1*99 =(1+100)*100/2+0.1*(1+2+3+.....+99)+99*0.1 =5050+0.1*(1+99)*99/2+9.9 =5050+495+9.9 =5554.9
admin
网友回答2022-02-20
(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
admin
网友回答2022-02-20
(1+0.1)+(2+0.1*2)+(3+0.1*3)+.............+(99+0.1*99)+(100+0.1*99) =1+0.1+2+0.1*2+3+0.1*3+.............+99+0.1*99+100+0.1*99 =1+2+3+......+100+0.1*(1+2+3+......+100) =(1+2+3+......+100)*(0.1+1) =5050*1.1 =5555
admin
网友回答2022-02-20
(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) =(1+100)×100÷2+0.1*(1+100)×100÷2 =5050+505 =5555

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