1-1/2+1/3-1/4+1/5-1/6+1/7-1/8+1/9-1/10+1/11-1/12
展开全部
=1/2+1/3-1/4+1/5-1/6+1/7-1/8+1/9-1/10+1/11-1/12+1/13-1/14+1/15-1/16+1/17-1/18+1/19- 1/20
=(1/2-1/4)+(1/3-1/6)+1/7-1/8+1/9+(1/5-1/10)+1/11-1/12+1/13-1/14+1/15-1/16+1/17-1/18+1/19- 1/20
=1/6+1/7+(1/4-1/8)+1/9+1/10+1/11-1/12+1/13-1/14+1/15-1/16+1/17-1/18+1/19- 1/20
=1/11+......+1/20
=(1/2-1/4)+(1/3-1/6)+1/7-1/8+1/9+(1/5-1/10)+1/11-1/12+1/13-1/14+1/15-1/16+1/17-1/18+1/19- 1/20
=1/6+1/7+(1/4-1/8)+1/9+1/10+1/11-1/12+1/13-1/14+1/15-1/16+1/17-1/18+1/19- 1/20
=1/11+......+1/20
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