1/3+1/8+1/15+1/24+1/35+1/48+1/63+1/80=?要简便算法啊,

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1/3+1/8+1/15+1/24+1/35+1/48+1/63+1/80=?要简便算法啊,1/3+1/8+1/15+1/24+1/35+1/48+1/63+1/80=?要简便算法啊,1/3+1/8+

1/3+1/8+1/15+1/24+1/35+1/48+1/63+1/80=?要简便算法啊,
1/3+1/8+1/15+1/24+1/35+1/48+1/63+1/80=?要简便算法啊,

1/3+1/8+1/15+1/24+1/35+1/48+1/63+1/80=?要简便算法啊,
分组,列项
1/3=1/2*(1-1/3)
1/15=1/2*(1/3-1/15)
.
1/8=1/2*(1/2-1/4)
1/24=1/2*(1/4-1/6)
.
1/3+1/8+1/15+1/24+1/35+1/48+1/63+1/80
=(1/3+1/15+1/35+1/63)+(1/8+1/24+1/48+1/80)
=1/2*(1-1/3+1/3-1/5+1/5-1/7+1/7-1/9)+1/2*(1/2-1/4+1/4-1/6+1/6-1/8+1/8-1/10)
=1/2*(1-1/9+1/2-1/10)
=1/2*58/45
=58/90

1/3+1/8+1/15+1/24+1/35+1/48+1/63+1/80
=1/(1*3)+1/(2*4)+1/(3*5)+1/(4*6)+1/(5*7)+1/(6*8)+1/(7*9)+1/(8*10)
=1/2 (1-1/3 + 1/2-1/4 + 1/3-1/5 + 1/4-1/6 + 1/5-1/7 + 1/6-1/8 + 1/7-1/9 + 1/8-1/10)
=1/2 (1+1/2-1/9-1/10)
=1/2 * 58/45
= 29/45

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) 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= 找规律.1,3,8,15,24,( ). 1/3+1/8+1/15+1/24+1/35+1/48+1/63+1/80+1/99怎么求 1/3+1/8+1/15+1/24……+1/320 (1-3/8)*(1-3/15)*(1-3/24)*.*(1-3/99)谢谢了,急.. 8/1+15/1+24/1+```````+143/1 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 -1/3 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