1/3+1/8+1/15+1/24……+1/99用简便算法怎么做?
来源:百度知道 编辑:UC知道 时间:2024/05/27 23:49:38
1/3+1/8+1/15+1/24……+1/99用简便算法怎么做?
上面的回答基本正确,答案再除以2就对了, 36/55
1/3+1/8+1/15+1/24……+1/99
=1/1*3+1/2*4+1/3*5+1/4*6+...+1/9*11
=1-1/3+1/2-1/4+1/3-1/5+1/4-1/6+...+1/9-1/11
=(1-1/3+1/3-1/5+...+1/9-1/11)+(1/2-1/4+1/4-1/6+...+1/8-1/10)
=(1-1/11)+(1/2-1/10)
=10/11+2/5
=72/55
(1/2-1)*(1/3-1)*(1/4-1)*(1/5-1)*(1/6-1)*(1/7-1)*(1/8-1)*(1/9-1)*(1/10-1)
1+1/2+1/3+1/4+1/5+1/6+1/7+1/8+......+1/100 = ?
-1/2 1/2 -3/8 1/4 -5/32 ( )?
1/2*4+1/3*5+1/4*6+.....+1/8*10+1/9*11
计算1+1/2+(1/3-1)+1/4+1/5+(1/6-1/2)+1/7+1/8+(1/9/1/3)......
1-1/2-1/3-1/4-1/5-1/6-1/7-1/8-......-1/17-1/18-1/19-1/20=?
(3*4*5*6*7*8)(1/3+1/4+1/5+1/6+1/7+1/8)
(1+1/2+1/3+1/4)×
请将1/4,3/8,1/2,5/8,3/4,7/8,1,1又1/8,1又1/4这九个数,填入3*3方格中。
1-1/4 -1/8-1/16-1/32-1/64