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|1/3+(-1/2)|+|1/4+(-1/3)|+|1/5+(-1/4)|+……+|1/2010+(-1/2009)|
题目详情
|1/3+(-1/2)|+|1/4+(-1/3)|+|1/5+(-1/4)|+……+|1/2010+(-1/2009)|
▼优质解答
答案和解析
|1/3-1/2|+|1/4-1/3|1/5-1/4|+……+|1/100-1/99|
=1/2-1/3+1/3-1/4+1/4-1/5+.+1/99-1/100
=1/2-1/100
=49/100
=1/2-1/3+1/3-1/4+1/4-1/5+.+1/99-1/100
=1/2-1/100
=49/100
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