1/24+1/35+1/46+.....+1/810+1/9*11

来源：百度知道编辑：UC知道时间：2024/05/13 17:56:19

1/2*4+1/3*5+1/4*6+.....+1/8*10+1/9*11
=1/2(1/2-1/4)+1/2(1/3-1/5)+……+1/2（1/8-1/10）+1/2(1/9+1/11)
=1/2(1/2-1/4+1/3-1/5+1/4-1/6+1/5-1/7+……+1/8-1/10+1/9-1/11）
=1/2（1/2+1/3-1/11-1/10）
=1/2×106/165
=53/165

1/2(1/2-1/4)+1/2(1/3-1/5)+……
=1/2(1/2+1/3-1/10-1/11)
=1/2(5/6-21/110)

原式=（1/2-1/4+1/3-1/5+1/4-1/6……+1/8-1/10+1/9-1/11）/2=53/165

1/2*4+1/3*5+1/4*6+.....+1/8*10+1/9*11
=1/2*(1/2-1/4)+1/2*(1/3-1/5)+...+1/2*(1/9-1/10)
=1/2*(1/2-1/4+1/3-1/5+...+1/8-1/10+1/9-1/11)
=1/2*(1/2+1/3-1/10-1/11)
=89/220

(1+1/2+1/3+1/4)× 1/1+1/2+1/3+1/4+。。。。+1/N 是多少 1/1+1/2+1/3+1/4+......1/2002＝？ 1-1/2+1/3-1/4+........1/99-1/100 1+1/2+1+1/3+1+1/4+......+1/100=? (1/2) (1/4+1/6)= (1-1/2)(1-1/3)(1-1/4)(1-1/5).....(1-1/1000) (1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8) (1-1/2^2)*(1-1/3^2)*(1-1/4^2).......(1-1/100^2) s=1/1+1/1!+1/2！+1/3！+1/4！+....+1/25!