式子如下：
1 1 1 1 1
--- + --- + --- + --- + .+ ---- =
2x3 3x4 4x5 5x6 9900
打不上公式，请见如下描述：
1/6 + 7/12 + 1/20 + 1/30 + ......+1/9900 =
请问结果是多少？怎么个算法？规律应该是分母分别为 2x3 3x4 4x5 5x6 .....99x100
人气：160 ℃ 时间：2019-09-22 10:28:31
解答
1/(2*3)+1/(3*4)+1/(4*5)+……+1/(98*99)+1/(99*100)
=(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+……+(1/98-1/99)+(1/99-1/100)
=1/2-1/100
=49/100=0.49
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