题目
1/(1*2)+1/(2*3)+1(3*4)+1/(3*4)+1/(4*5)+1/(5*6).1/(99*100)
提问时间:2020-10-05
答案
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
=1-1/2+1/2-1/3+.+1/99-1/100
=1-1/100
=99/100
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