1/8+1/24+1/48+1/80+1/120的简便算法1/3+1/15+1/35+1/63+1/99+1/143

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/06 15:34:28
1/8+1/24+1/48+1/80+1/120的简便算法1/3+1/15+1/35+1/63+1/99+1/143
x)3Է672& 042x>'?_7橆 qS a "@\KKMR>A3MΆKOʃ%@AJ 4Pj%@Vk ieTb.y@H5i,ZPL͠\Sm @NKv

1/8+1/24+1/48+1/80+1/120的简便算法1/3+1/15+1/35+1/63+1/99+1/143
1/8+1/24+1/48+1/80+1/120的简便算法
1/3+1/15+1/35+1/63+1/99+1/143

1/8+1/24+1/48+1/80+1/120的简便算法1/3+1/15+1/35+1/63+1/99+1/143
1/8+1/24+1/48+1/80+1/120
=1/4×(1/2+1/6+1/12+1/20+1/30)
=1/4×(1/1*2+1/2*3+1/3*4+1/4*5+1/5*6)
=1/4×(1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6)
=1/4×(1-1/6)
=1/4×5/6
=5/24