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1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45这个数学题?算
人气:127 ℃ 时间:2019-10-17 02:32:58
解答
1/3+1/6+1/10+1/15+1/21+1/28+1/36+1/45
=2*(1/6+1/12+1/20+1/30+1/42+...+1/90)
=2*(1/2*3+1/3*4+1/4*5+1/5*6+1/6*7+...+1/9*10)
=2*(1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+...+1/9-1/10)
=2*(1/2-1/10)
=2*2/5
=4/5
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