计算|1/4-1/2|+|1/6-1/4|+…+｜1/2010-1/2008|
问题描述：
计算|1/4-1/2|+|1/6-1/4|+…+｜1/2010-1/2008|
答的对就财富悬赏!
答
|1/4-1/2|+|1/6-1/4|+…+｜1/2010-1/2008|
=(1/2-1/4)+(1/4-1/6)+(1/6-1/8)+.+(1/2008-1/2010)
=1/2-1/2010
=502/1005步骤能不能详细些呢|1/4-1/2|+|1/6-1/4|+…+｜1/2010-1/2008|=(1/2-1/4)+(1/4-1/6)+(1/6-1/8)+(1/8-1/10)+.......+(1/2006-1/2008)+(1/2008-1/2010)=1/2-1/4+1/4-1/6+1/6-1/8+1/8-1/10+.......+1/2006-1/2008+1/2008-1/2010=1/2+(1/4-1/4)+(1/6-1/6)+(1/8-1/8)+(1/10-1/10)+.......+(1/2006-1/2006)+(1/2008-1/2008)-1/2010=1/2-1/2010=502/1005