1/2-(1/2-1/3)-(1/3-1/4)-...-(1/99-1/100) 利用简便方法计算
问题描述:
1/2-(1/2-1/3)-(1/3-1/4)-...-(1/99-1/100) 利用简便方法计算
答
1/2-(1/2-1/3)-(1/3-1/4)-...-(1/99-1/100)………打开括号,里面变号
=1/2-1/2+1/3-1/3+1/4-………-1/99+1/100
=1/100