(1+0.1)+(2+0.1*2)+(3+0.1*3)+.+(99+0.1*99)+(100+0.1*99)简便方法解题

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(1+0.1)+(2+0.1*2)+(3+0.1*3)+.+(99+0.1*99)+(100+0.1*99)
简便方法解题

(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