1/2+1/6+1/12+1/20+1/30+.+1/9900
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+……+(1/99-1/100)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+……+1/99-1/100
中间抵消
=1-1/100
=99/100
1/2+1/6+1/12+1/20+1/30+.+1/9900=?
5个回答
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