1/2*4+1/4*6+1/6*8+1/48*50

来源:百度知道 编辑:UC知道 时间:2024/05/13 16:24:32

1/2*4+1/4*6+1/6*8+.......1/48*50

=1/2(1/2-1/4)+1/2(1/4-1/6)+1/2(1/6-1/8)+.....1/2(1/48-1/50)

=1/2(1/2-1/4+1/4-1/6+...+1/48-1/50)

=1/2(1/2-1/50)

=6/25

题目会否有误,原式是否就为:1/2*4+1/4*6+1/6*8+1/48*50=1/8+1/24+1/48+1/48×50=(6×50+2×50+50+1)/48×50=451/2400

3

141/24
有意思么?

2+3/2+4/3+25/24=141/24