1/(1*2*3)+1/(2*3*4)+1/(3*4*5)+…+1/(98*99*100)求详细过程
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![1/(1*2*3)+1/(2*3*4)+1/(3*4*5)+…+1/(98*99*100)求详细过程](/uploads/image/z/3900498-42-8.jpg?t=1%2F%281%2A2%2A3%29%2B1%2F%282%2A3%2A4%29%2B1%2F%283%2A4%2A5%29%2B%E2%80%A6%2B1%2F%2898%2A99%2A100%29%E6%B1%82%E8%AF%A6%E7%BB%86%E8%BF%87%E7%A8%8B)
1/(1*2*3)+1/(2*3*4)+1/(3*4*5)+…+1/(98*99*100)求详细过程
1/(1*2*3)+1/(2*3*4)+1/(3*4*5)+…+1/(98*99*100)求详细过程
1/(1*2*3)+1/(2*3*4)+1/(3*4*5)+…+1/(98*99*100)求详细过程
1/(1*2*3)+1/(2*3*4)+1/(3*4*5)+…+1/(98*99*100)
=(1-1/2-1/3)+(1/2-1/3-1/4)+(1/3-1/4-1/5)+.1/98-1/99-1/100
=1-1/100
=99/100
备注:1/(1*2*3)=1-1/2-1/3
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