1/2,1/3,1/4,1/5,……1/90,1/91,從中挑出十個數,加上正負號,是他們的和等於-1

1/2,1/3,1/4,1/5,……1/90,1/91,從中挑出十個數,加上正負號,是他們的和等於-1

∵1/12-1/4-1/5-1/20-1/6-1/7-1/42-1/8-1/9-1/72=1/12-(1/4+1/5+1/20)-(1/6+1/7+1/42)-(1/8+1/9+1/72)=1/12-10/20-14/42-18/72=1/12-1/2-1/3-1/4=1/12-6/12-4/12-3/12=-1所以這十個數是:1/12,1/4,1/5,1/20,1/6,1/7…