作业帮1/3+1/8+1/15+1/24+1/35+...+1/80+1/99 怎么解
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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+1/35+...+1/80+1/99 怎么解
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+1/35+...+1/80+1/99
=1/2[(1-1/3)+(1/2-1/4)+...+(1/8-1/10)+(1/9-1/11)]
=1/2(1+1/2-1/10-1/11)
=36/55
一般项为1/[（n+1）^2-1]=1/n(n+2)=1/2[1/n-1/n+2]
1-1/3+1/2-1/4+1/3-1/5.。。。。1/98-1/100=3/2-1/99-1/100
1/3+1/8+1/15+1/24+1/35+...+1/80+1/99
=(1/2)*{[1-(1/3)]+[(1/2)-(1/4)]+[(1/3)-(1/5)]+...+[(1/7)-(1/9)]+[(1/8)-(1/10)]+[(1/9)-(1/11)]
=(1/2)*[1-(1/3)+(1/2)-(1/4)+(1/3)-(1/5)+...+(1/7)-(1/9)+(1/8)-(1/10)+(1/9)-(1/11)]
=(1/2)*[1+(1/2)-(1/10)-(1/11)]
=(1/2)*(72/55)
=36/55
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