2013×(1/1×2+1/2×3+1/3×4+……1/+2011×2012+2012×2013)怎么算?
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/06/28 13:26:37
2013×(1/1×2+1/2×3+1/3×4+……1/+2011×2012+2012×2013)怎么算?
![2013×(1/1×2+1/2×3+1/3×4+……1/+2011×2012+2012×2013)怎么算?](/uploads/image/z/7126415-71-5.jpg?t=2013%C3%97%281%2F1%C3%972%2B1%2F2%C3%973%2B1%2F3%C3%974%2B%E2%80%A6%E2%80%A61%2F%2B2011%C3%972012%2B2012%C3%972013%29%E6%80%8E%E4%B9%88%E7%AE%97%3F)
原式=2013×(1-1/2+1/2-1/3+……+1/2011-1/2012+1/2012-1/2013)
=2013×(1-1/2013)
=2012
=2013×(1-1/2013)
=2012
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