(-1x1/2)+(-1/2x1/3)+(-1/3x1/4)+...+(-1/2013x1/2014)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/25 10:24:11
(-1x1/2)+(-1/2x1/3)+(-1/3x1/4)+...+(-1/2013x1/2014)(-1x1/2)+(-1/2x1/3)+(-1/3x1/4)+...+(-1/2013x1/201

(-1x1/2)+(-1/2x1/3)+(-1/3x1/4)+...+(-1/2013x1/2014)
(-1x1/2)+(-1/2x1/3)+(-1/3x1/4)+...+(-1/2013x1/2014)

(-1x1/2)+(-1/2x1/3)+(-1/3x1/4)+...+(-1/2013x1/2014)
答:
(-1x1/2)+(-1/2x1/3)+(-1/3x1/4)+...+(-1/2013x1/2014)
=1/2-1+1/3-1/2+1/4-1/3+.+1/2014-1/2013
=-1+1/2014
=-2013/2014

(-1x1/2)+(-1/2x1/3)+(-1/3x1/4)+...+(-1/2013x1/2014)
=- (1-1/2+1/2-1/3+1/3-1/4+....+1/2013-1/2014)
=-(1-1/2014)
=-2013/2014