|1/2|+|1/3-1/2|+……+|1/99-1/98|+|1/100-1/99|=?运算规律
问题描述:
|1/2|+|1/3-1/2|+……+|1/99-1/98|+|1/100-1/99|=?运算规律
答
|1/2|+|1/3-1/2|+……+|1/99-1/98|+|1/100-1/99|
=1/2+(1/2-1/3)+...+(1/98-1/99)+(1/99-1/100)
=1/2+1/2-1/100
=1-1/100
=99/100