1/2*3-1/3*4-1/4*5-...-1/99*100=多少？
1/2*3-1/3*4-1/4*5-...-1/99*100=多少？
日期：2021-05-27 22:55:59 人气：1
1/2*3-1/3*4-1/4*5-...-1/99*100
=1/6-(1/3*4+1/4*5+...+1/99*100)
=1/6-(1/3-1/4+1/4-1/5+...+1/99-1/100)
=1/6-(1/3-1/100)
=1/6-97/300
=-47/300
=1/6-(1/3*4+1/4*5+...+1/99*100)
=1/6-(1/3-1/4+1/4-1/5+...+1/99-1/100)
=1/6-(1/3-1/100)
=1/6-97/300
=-47/300