计算:1/1*2+1/2*3+1/3*4+……+1/2012*2013怎么做?

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/13 01:46:04
计算:1/1*2+1/2*3+1/3*4+……+1/2012*2013怎么做?

计算:1/1*2+1/2*3+1/3*4+……+1/2012*2013怎么做?
计算:1/1*2+1/2*3+1/3*4+……+1/2012*2013怎么做?

计算:1/1*2+1/2*3+1/3*4+……+1/2012*2013怎么做?
1/1*2+1/2*3+1/3*4+……+1/2012*20131/1*2=1-1/21/2*3=1/2-1/31/3*4=1/3-1/4同理1/2012*2013=1/2012-1/20131/1*2+1/2*3+1/3*4+……+1/2012*2013=1-1/2+1/2-1/3+1/3-1/4+……+1/2011-1/2012+1/2012-1/2013=1-1/2013=2012/2013

用数列做