利用发现计算1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90的详细答案

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利用发现计算1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90的详细答案
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利用发现计算1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90的详细答案
利用发现计算1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90的详细答案

利用发现计算1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90的详细答案
1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90
=1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+1/(6*7)+1/(7*8)+1/(8*9)+1/(9*10)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10
=1-1/10
=9/10

你个笨蛋,二分之一加上二分之一减三分之一加四分之一减四分之一………以此类推,笨死了!