求1/2+1/6+1/12+1/20+1/30+1/42的和(用简便方法计算)
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![求1/2+1/6+1/12+1/20+1/30+1/42的和(用简便方法计算)](/uploads/image/z/136046-38-6.jpg?t=%E6%B1%821%2F2%2B1%2F6%2B1%2F12%2B1%2F20%2B1%2F30%2B1%2F42%E7%9A%84%E5%92%8C%EF%BC%88%E7%94%A8%E7%AE%80%E4%BE%BF%E6%96%B9%E6%B3%95%E8%AE%A1%E7%AE%97%EF%BC%89)
求1/2+1/6+1/12+1/20+1/30+1/42的和(用简便方法计算)
求1/2+1/6+1/12+1/20+1/30+1/42的和(用简便方法计算)
求1/2+1/6+1/12+1/20+1/30+1/42的和(用简便方法计算)
1/2+1/6+1/12+1/20+1/30+1/42
=1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6+1/7
=8/7