1/3X1/4十1/4X1/5十1/5X1/6十1/6……1/47X1/48等于多少?
答案:1 悬赏:40 手机版
解决时间 2021-01-23 04:48
- 提问者网友:佞臣
- 2021-01-22 13:22
1/3X1/4十1/4X1/5十1/5X1/6十1/6……1/47X1/48等于多少?
最佳答案
- 五星知识达人网友:梦中风几里
- 2021-01-22 14:22
1/3X1/4十1/4X1/5十1/5X1/6十1/6……1/47X1/48
=1/3-1/4+1/4-1/5+...+1/47-1/48
=1/3-1/48
=16/48-1/48
=15/48
=5/16;追答1/3X1/4十1/4X1/5十1/5X1/6十1/6……1/47X1/48
=1/3-1/4+1/4-1/5+...+1/47-1/48
=1/3-1/48
=16/48-1/48
=15/48
=5/16;1/3X1/4十1/4X1/5十1/5X1/6十1/6……1/47X1/48
=1/3-1/4+1/4-1/5+...+1/47-1/48
=1/3-1/48
=16/48-1/48
=15/48
=5/16;追问不对吧为什么乘变成减了追答对的啊;
裂项法:1/n×(n+1)=1/n-1/(n+1);
中间相互抵消了,最后剩余
1/3-1/48
=16/48-1/48
=15/48
=5/16;对的啊;
裂项法:1/n×(n+1)=1/n-1/(n+1);
中间相互抵消了,最后剩余
1/3-1/48
=16/48-1/48
=15/48
=5/16;追问谢谢追答希望好评,谢谢
=1/3-1/4+1/4-1/5+...+1/47-1/48
=1/3-1/48
=16/48-1/48
=15/48
=5/16;追答1/3X1/4十1/4X1/5十1/5X1/6十1/6……1/47X1/48
=1/3-1/4+1/4-1/5+...+1/47-1/48
=1/3-1/48
=16/48-1/48
=15/48
=5/16;1/3X1/4十1/4X1/5十1/5X1/6十1/6……1/47X1/48
=1/3-1/4+1/4-1/5+...+1/47-1/48
=1/3-1/48
=16/48-1/48
=15/48
=5/16;追问不对吧为什么乘变成减了追答对的啊;
裂项法:1/n×(n+1)=1/n-1/(n+1);
中间相互抵消了,最后剩余
1/3-1/48
=16/48-1/48
=15/48
=5/16;对的啊;
裂项法:1/n×(n+1)=1/n-1/(n+1);
中间相互抵消了,最后剩余
1/3-1/48
=16/48-1/48
=15/48
=5/16;追问谢谢追答希望好评,谢谢
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