题目

1、1+2-3-4+5+6-7-8+……+2001+2002-2003-2004+2005+2006
2、1/1×2+1/2×3+1/3×4+1/4×5
3、1/6+1/12+1/20+1/30+1/42+1/56

提问时间：2021-03-04

答案

1
1+(2-3)-(4-5)+(6-7)-(8-9)+...-(2004-2005)+2006
=1+(-1)-(-1)+...+(-1)-(-1)+2006=2007
2
(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)
=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5
=4/5
3
1/(2*3)+1/(3*4)+1/(4*5)+1/(5*6)+1/(6*7)+1/(7*8)
=1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8
=1/2-1/8
=3/8