1+1/2+2/2+3/1+3/2+3/3 100/1+100/2+ +100/100和是多少1/1;2/1,2/2;3/1,3/2,3/3;4/1,4/2,4/3,4/4;...,1/100,2/100,...,100/100.这串数的和是多少

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/10 15:09:40
1+1/2+2/2+3/1+3/2+3/3 100/1+100/2+ +100/100和是多少1/1;2/1,2/2;3/1,3/2,3/3;4/1,4/2,4/3,4/4;...,1/100,2/100,...,100/100.这串数的和是多少

1+1/2+2/2+3/1+3/2+3/3 100/1+100/2+ +100/100和是多少1/1;2/1,2/2;3/1,3/2,3/3;4/1,4/2,4/3,4/4;...,1/100,2/100,...,100/100.这串数的和是多少
1+1/2+2/2+3/1+3/2+3/3 100/1+100/2+ +100/100和是多少
1/1;2/1,2/2;3/1,3/2,3/3;4/1,4/2,4/3,4/4;...,1/100,2/100,...,100/100.这串数的和是多少

1+1/2+2/2+3/1+3/2+3/3 100/1+100/2+ +100/100和是多少1/1;2/1,2/2;3/1,3/2,3/3;4/1,4/2,4/3,4/4;...,1/100,2/100,...,100/100.这串数的和是多少
1/n+2/n+3/n+……+n/n
=[n(n+1)/2]/n
=(n+1)/2
=n/2+1/2
所以原式=(1/2+1/2)+(2/2+1/2)+(3/2+1/2)+……+(100/2+1/2)
=(1+2+3+……+100)/2+100*(1/2)
=(100*101/2)/2+50
=2525+50
=2575

你的题是不是有问题 1/100,2/100,...,100/100和前面的规律不一样

1/n+2/n+3/n+……+n/n
=[n(n+1)/2]/n
=(n+1)/2
=n/2+1/2

你问的有问题耶!!!~~~~~~~~~

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