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：六六作业网时间：2024/11/24 06:47:13

1.2/1+6/1+12/1+20/1+30/1+42/12.6/1+12/1+20/1+30/1.+9900/11.2/1+6/1+12/1+20/1+30/1+42/12.6/1+12/1+20/

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