1/8+1/24+1/48+...+1/2400的答案是多少
来源:百度知道 编辑:UC知道 时间:2024/06/20 17:48:16
1/8+1/24+1/48+...+1/2400
=1/4(1/2+1/2*3+1/3*4+...+1/24*25)
=1/4(1-1/2+1/2-1/3+1/3-1/4+...+1/24-1/25)
=1/4(1-1/25)
=(1/4)(24/25)
=6/25
原式=1/2*4+1/4*6+1/6*8+……+1/48*50
=1/2(1/2-1/4+1/4-1/6+……+1/48-1/50)
=1/2(1/2-1/50)
=(1/2)(12/25)
=6/25
8分之1的分母8就等于2*4
24分之1的分母24就等于4*6
…………………………
算出来最后一步是2分之1减去60分之1就等于60分之29
只给前三项,做不出来。
(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)
1/2+1/4+1/8+1/16......+1/256=?
1/2+1/4+1/6+1/8+.......+1/n=?
1/2,3/2,1/5,-1/8,-2/13,(?)
1-1/2-1/4-1/8-......-1/1024=?(过程)
1/(2+5)+1/(5+8)+1/(8+11)+1/(11+14)+...+1/(47+50)
(1+1/2)(1+1/4)(1+1/8)...(1+1/2^n)求极限是多少?
化简:(1+1/2)(1+1/2^2)(1+1/2^4)(1+1/2^8)(1+1/2^16)
-1/2 1/2 -3/8 1/4 -5/32 ( )?
1/2+1/4+1/8+.....+1/2^2007=?