1.2/1+6/1+12/1+20/1+30/1+42/1 2.6/1+12/1+20/1+30/1.+9900/1

来源：学生作业帮助网 编辑：作业帮 时间：2024/08/06 18:04:58
1.2/1+6/1+12/1+20/1+30/1+42/1 2.6/1+12/1+20/1+30/1.+9900/1
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1.2/1+6/1+12/1+20/1+30/1+42/1 2.6/1+12/1+20/1+30/1.+9900/1
1.2/1+6/1+12/1+20/1+30/1+42/1 2.6/1+12/1+20/1+30/1.+9900/1

1.2/1+6/1+12/1+20/1+30/1+42/1 2.6/1+12/1+20/1+30/1.+9900/1
1.2/1+6/1+12/1+20/1+30/1+42/1 2.6/1+12/1+20/1+30/1.+9900/1
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/99-1/100)
=1-1/100
=99/100

原式=(1-1/2)+(1/2-1/3)+(1/3-1/4)+...+(1/99-1/100)
=1-1/100
=99/100