找规律计算:(-1×1/2)+(-1/2×1/3)+(-1/3×1/4)+…+(-1/2007×1/2008)

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/04 14:34:55
找规律计算:(-1×1/2)+(-1/2×1/3)+(-1/3×1/4)+…+(-1/2007×1/2008)

找规律计算:(-1×1/2)+(-1/2×1/3)+(-1/3×1/4)+…+(-1/2007×1/2008)
找规律计算:(-1×1/2)+(-1/2×1/3)+(-1/3×1/4)+…+(-1/2007×1/2008)

找规律计算:(-1×1/2)+(-1/2×1/3)+(-1/3×1/4)+…+(-1/2007×1/2008)
-1/2分为-1+1/2,-1/2x1/3分为-1/2+1/3,后面的同理,原式化为-1+1/2-1/2+1/3-1/3+1/4+……-1/2007+1/2008=-1+1/2008=-2007/2008