求|1/4-1/2|+|1/6-1/4|+|1/8-1/6|+.+|1/100-1/98|的值
问题描述:
求|1/4-1/2|+|1/6-1/4|+|1/8-1/6|+.+|1/100-1/98|的值
答
|1/4-1/2|+|1/6-1/4|+|1/8-1/6|+.+|1/100-1/98| =(1/2-1/4)+(1/4-1/6)+.(1/98-1/100) =1/2-1/100 =50/100-1/100 =49/100=0.49