1+（1/2-1/3）+（1/3-1/4）+（1/4-1/5）.(1/99-1/100)
=1+1/2-1/3+1/3-1/4+1/4-1/5……+1/99-1/100
=1+1/2-1/100
=1+50/100-1/100
=149/100
数学趣味题1+（1/2-1/3）+（1/3-1/4）+（1/4-1/5）.(1/99-1/100)=?
3个回答
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