计算 |1/4-1/2|+|1/6-1/4|+|1/8—1/6|+.+|1/2008-1/2006|
问题描述:
计算 |1/4-1/2|+|1/6-1/4|+|1/8—1/6|+.+|1/2008-1/2006|
答
|1/4-1/2|+|1/6-1/4|+|1/8—1/6|+.+|1/2008-1/2006|
=1/2-1/4+1/4-1/6+1/6-1/8+...+1/2006-1/2008
=1/2-1/2008
=1003/2008