计算1/2-1/6-1/12-1/20-1/30-1/42等于多少?
问题描述：
计算1/2-1/6-1/12-1/20-1/30-1/42等于多少?
答
1/2-1/6-1/12-1/20-1/30-1/42 =1/2-(1/6+1/12+1/20+1/30+1/42) =1/2-[1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+1/(6*7)] =1/2-(1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7) =1/2-(1/2-1/7) =1/2-1/2+1/7 =1/7不懂发消息问我...