1/3+1/8+1/15+1/24+...+1/360=3=1X3 8=2X4 15=3X5 24=4X6 360=18X20

来源：学生作业帮助网编辑：作业帮时间：2024/11/05 15:09:01

1/3+1/8+1/15+1/24+...+1/360=3=1X3 8=2X4 15=3X5 24=4X6 360=18X20
1/3+1/8+1/15+1/24+...+1/360=
3=1X3 8=2X4 15=3X5 24=4X6 360=18X20

1/3+1/8+1/15+1/24+...+1/360=3=1X3 8=2X4 15=3X5 24=4X6 360=18X20
1/3=1/(1*3)=1/2*(1-1/3)
1/8=1/(2*4)=1/2*(1/2-1/4)
1/15=1/(3*5)=1/2*(1/3-1/5)
1/24=1/(4*6)=1/2*(1/4-1/6)
.
1/323=1/(17*19)=1/2*(1/17-1/19)
1/360=1/(18*20)=1/2*(1/18-1/20)
1/3+1/8+1/15+1/24+...+1/360
=1/2*[(1-1/3)+(1/2-1/4)+(1/3-1/5)+...+(1/17-1/19)+(1/18-1/20)]
=1/2*(1+1/2-1/3+1/3-1/4+...-1/17+1/17-1/18+1/18-1/19-1/20)
=1/2*(1+1/2-1/19-1/20)
=1/2*531/380
=531/760

1,3,8,15,24,( ). 1/3+1/8+1/15+1/24+.1/9800 (1+1/3)*(1+1/8)*(1+1/15)*(1+1/24)*.*(1+1/9800) 找规律.1,3,8,15,24,( ). 1/3+1/8+1/15+1/24+1/35+...+1/80+1/99 怎么解 1/3 1/8 1/15 1/24 ...1/80 1/99 1/3+1/8+1/15+1/24+1/35+1/48 1/3,-1/8,1/15,-1/24,1/35,-1/48怎样找规律 1/3+1/8+1/15+1/24+1/35+.1/9999= 1/3+1/8+1/15+1/24+1/35+1/48+1/63+1/80+1/99怎么求 (1-3/8)*(1-3/15)*(1-3/24)*.*(1-3/99)谢谢了,急.. 1/3+1/8+1/15+1/24……+1/320 8/1+15/1+24/1+```````+143/1 -1/3 1/8 -1/15 1/24 的通项公式是?速度! 数列1/3,1/8,1/15,1/24的一个通项公式为求-1/3,1/8,-1/15,1/24的通项公式 -1/3,1/8,-1/15,1/24的通项公式 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