1/2+1/6+1/12+1/20+.+1/9900等于几,简便计算,

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1/2+1/6+1/12+1/20+.+1/9900等于几,简便计算,1/2+1/6+1/12+1/20+.+1/9900等于几,简便计算,1/2+1/6+1/12+1/20+.+1/9900等于几,

1/2+1/6+1/12+1/20+.+1/9900等于几,简便计算,
1/2+1/6+1/12+1/20+.+1/9900等于几,简便计算,

1/2+1/6+1/12+1/20+.+1/9900等于几,简便计算,
1/2+1/6+1/12+1/20+.+1/9900
=1/2+1/2-1/3+1/3-1/4+1/4-1/5+.+1/99-1/100
=1-1/100
=99/100