1/(2*4)+1/(4*6)+1/(6*8)+.+1/(2008*2010)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/25 22:04:30
1/(2*4)+1/(4*6)+1/(6*8)+.+1/(2008*2010)1/(2*4)+1/(4*6)+1/(6*8)+.+1/(2008*2010)1/(2*4)+1/(4*6)+1/(6*8

1/(2*4)+1/(4*6)+1/(6*8)+.+1/(2008*2010)
1/(2*4)+1/(4*6)+1/(6*8)+.+1/(2008*2010)

1/(2*4)+1/(4*6)+1/(6*8)+.+1/(2008*2010)
1/(2*4)+1/(4*6)+1/(6*8)+.+1/(2008*2010)
=1/2*[1/2-1/4+1/4-1/6+1/6-1/8+……+1/2008-2010]
=1/2*[1/2-1/2010]
=251/1005