=1+1/2-3+1/6+3+1/12-5+1/20+5+1/30-7+1/42=-6+(1/2+1/6+1/12+1/20+1/30+1/42)=-6+[1/(1*2)+1/(2*3)+1/(3*4)+...+1/(6*7)]=-6+[(1/1-1/2)+(1/2-1/3)+...+(1/6-1/7)]=-6+(1-1/7)=-5又1/7