1/1*4+1/4*7+1/7*10+1/10*13+~~~+1/97*100
答案:4 悬赏:10 手机版
解决时间 2021-02-18 18:37
- 提问者网友：鐵馬踏冰河
- 2021-02-18 15:25
1/1*4+1/4*7+1/7*10+1/10*13+~~~+1/97*100
最佳答案
- 五星知识达人网友：千夜
- 2021-02-18 16:43
1/1*4+1/4*7+1/7*10+1/10*13+~~~+1/97*100
=(1/3)*[(1-1/4)+(1/4-1/7)+(1/7-1/10)+...+(1/97-1/100)]
=(1/3)*(1-1/100)
=(1/3)*(99/100)
=33/100
=(1/3)*[(1-1/4)+(1/4-1/7)+(1/7-1/10)+...+(1/97-1/100)]
=(1/3)*(1-1/100)
=(1/3)*(99/100)
=33/100
全部回答
- 1楼网友：英雄的欲望
- 2021-02-18 21:06
=(1/3)*[(1-1/4)+(1/4-1/7)+(1/7-1/10)+...+(1/97-1/100)]
=1/3[1-1/4+1/4-1/7+.......1/97-1/100]
=(1/3)*(1-1/100)
==33/100
=1/3[1-1/4+1/4-1/7+.......1/97-1/100]
=(1/3)*(1-1/100)
==33/100
- 2楼网友：往事隔山水
- 2021-02-18 19:28
1/1*4+1/4*7+1/7*10+1/10*13+~~~+1/97*100
=(1/3)*[(1-1/4)+(1/4-1/7)+(1/7-1/10)+...+(1/97-1/100)]
=(1/3)*(10-1/4+1/4-1/7+1/7-1/10+1/10+...+1/97-1/100)
=(1/3)*(1-1/100)
=(1/3)*(99/100)
=33/100
=(1/3)*[(1-1/4)+(1/4-1/7)+(1/7-1/10)+...+(1/97-1/100)]
=(1/3)*(10-1/4+1/4-1/7+1/7-1/10+1/10+...+1/97-1/100)
=(1/3)*(1-1/100)
=(1/3)*(99/100)
=33/100
- 3楼网友：狂恋
- 2021-02-18 17:55
1/1*4+1/4*7+1/7*10+1/10*13+.........+1/2002*2005
=[1-1/4+1/4-1/7+1/7-1/10+1/10-1/13+.....+1/2002-1/2005]/3
=[1-1/2005]/3
=2004/(2005*3)
=668/2005
貌似和这个题一样
=[1-1/4+1/4-1/7+1/7-1/10+1/10-1/13+.....+1/2002-1/2005]/3
=[1-1/2005]/3
=2004/(2005*3)
=668/2005
貌似和这个题一样
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