1/2+1/6+1/12+1/20+1/30+1/42=注:要层等式,并且要有过程,不要直接写出答案的,能讲讲怎么算的更好,
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![1/2+1/6+1/12+1/20+1/30+1/42=注:要层等式,并且要有过程,不要直接写出答案的,能讲讲怎么算的更好,](/uploads/image/z/442259-35-9.jpg?t=1%2F2%2B1%2F6%2B1%2F12%2B1%2F20%2B1%2F30%2B1%2F42%3D%E6%B3%A8%EF%BC%9A%E8%A6%81%E5%B1%82%E7%AD%89%E5%BC%8F%2C%E5%B9%B6%E4%B8%94%E8%A6%81%E6%9C%89%E8%BF%87%E7%A8%8B%2C%E4%B8%8D%E8%A6%81%E7%9B%B4%E6%8E%A5%E5%86%99%E5%87%BA%E7%AD%94%E6%A1%88%E7%9A%84%2C%E8%83%BD%E8%AE%B2%E8%AE%B2%E6%80%8E%E4%B9%88%E7%AE%97%E7%9A%84%E6%9B%B4%E5%A5%BD%2C)
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1/2+1/6+1/12+1/20+1/30+1/42=注:要层等式,并且要有过程,不要直接写出答案的,能讲讲怎么算的更好,
1/2+1/6+1/12+1/20+1/30+1/42
=
注:要层等式,并且要有过程,不要直接写出答案的,能讲讲怎么算的更好,
1/2+1/6+1/12+1/20+1/30+1/42=注:要层等式,并且要有过程,不要直接写出答案的,能讲讲怎么算的更好,
可以变形,把第二位的6看成是2乘以3.后面依次类推.
原式=1/1*2+1/2*3+1/3*4+1/4*5+1/5*6+1/6*7
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6
=1-1/7
=6/7