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(1-1/2)+(1+1/2)+(1-1/3)+(1+1/3)+(1-1/4)+(1+1/4)+……+(1-1/99)+(1+1/99)
题目详情
(1-1/2)+(1+1/2)+(1-1/3)+(1+1/3)+(1-1/4)+(1+1/4)+……+(1-1/99)+(1+1/99)
▼优质解答
答案和解析
(1-1/2)+(1+1/2)+(1-1/3)+(1+1/3)+(1-1/4)+(1+1/4)+……+(1-1/99)+(1+1/99)
=1-1/2+1+1/2+1-1/3+1+1/3+1-1/4+1+1/4+……+1-1/99+ 1+1/99
=1+1-1/2+1/2+1+1-1/3+1/3+1+1-1/4+1/4+……+1+1-1/99+ 1/99
=1+1+1+1+……+1+1
=196
=1-1/2+1+1/2+1-1/3+1+1/3+1-1/4+1+1/4+……+1-1/99+ 1+1/99
=1+1-1/2+1/2+1+1-1/3+1/3+1+1-1/4+1/4+……+1+1-1/99+ 1/99
=1+1+1+1+……+1+1
=196
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