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1/2×2/3+1/3×2/4+1/4×2/5+……+1/99×2/100 计算

来源:学生作业帮 编辑:大师作文网作业帮 分类:数学作业 时间:2024/11/12 05:03:11
1/2×2/3+1/3×2/4+1/4×2/5+……+1/99×2/100 计算
1/2×2/3+1/3×2/4+1/4×2/5+……+1/99×2/100 计算
原式=2×(1/2×1/3+1/3×1/4+1/4×1/5+……+1/99×1/100)
=2×(1/2-1/3+1/3-1/4+1/4-1/5+……+1/99-1/100)
=2×(1/2-1/100)
=2×49/100=49/50