1/4+1/28+1/70......+1/9700
来源:百度知道 编辑:UC知道 时间:2024/06/25 11:22:08
要详细过程
要快,简便算法
要快,简便算法
=1/1*4+1/4*7+1/7*10+……+1/97*100
=(1/3)*(1-1/4)+(1/3)*(1/4-1/7)+(1/3)*(1/7-1/10)+……+(1/3)*(1/97-1/100)
=(1/3)*(1-1/4+1/4-1/7+1/7-1/10+……+1/97-1/100)
=(1/3)*(1-1/100)
=33/100
1/4+1/28+1/70......+1/9700
=(1/3)*(1-1/4+1/4-1/7+1/7-1/10+...+1/97-1/100)
=(1/3)*99/100
=33/100
原式=1|4+1|4*7+1|7*10+......1|97*100(共有(100-1)|3=33个数)
=33|(33*3+1)=33|100
(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!