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1/(1*2)+1/(2*3)+1(3*4)+1/(3*4)+1/(4*5)+1/(5*6).1/(99*100)

分类: 作业答案 • 2021-12-19 16:42:43
问题描述：

1/(1*2)+1/(2*3)+1(3*4)+1/(3*4)+1/(4*5)+1/(5*6).1/(99*100)

答

1/(1*2)+1/(2*3)+1(3*4)+1/(3*4)+1/(4*5)+1/(5*6)...........1/(99*100)
=1-1/2+1/2-1/3+......+1/99-1/100
=1-1/100
=99/100
这是拆分问题

答

1/(1*2)+1/(2*3)+1(3*4)+1/(3*4)+1/(4*5)+1/(5*6).1/(99*100)
=1-1/2+1/2-1/3+.+1/99-1/100
=1-1/100
=99/100

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