求|1/10-1/11|+|1/11-1/12|+|1/12-1/13|+.+|1/48-1/49|+|1/49-1/50|的值
问题描述:
求|1/10-1/11|+|1/11-1/12|+|1/12-1/13|+.+|1/48-1/49|+|1/49-1/50|的值
答
求|1/10-1/11|+|1/11-1/12|+|1/12-1/13|+.+|1/48-1/49|+|1/49-1/50|的值
=1/10-1/11+1/11-1/12+.+1/49-1/50
=1/10-1/50
=2/25