计算1/2+1/6+1/12+1/20+.+1/9900=?

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计算1/2+1/6+1/12+1/20+.+1/9900=?
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计算1/2+1/6+1/12+1/20+.+1/9900=?
计算1/2+1/6+1/12+1/20+.+1/9900=?

计算1/2+1/6+1/12+1/20+.+1/9900=?
1/2+1/6+1/12+1/20+.+1/9900
=1/1*2+1/2*3+1/3*4+.+1/99*100
=1-1/2+1/2-1/3+1/3-1/4+.+1/99-1/100
=1-1/100
=99/100