4/3+16/15+36/35+64/63+100/99+144/143+196/195+256/255

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/19 20:46:31
4/3+16/15+36/35+64/63+100/99+144/143+196/195+256/2554/3+16/15+36/35+64/63+100/99+144/143+196/195+256

4/3+16/15+36/35+64/63+100/99+144/143+196/195+256/255
4/3+16/15+36/35+64/63+100/99+144/143+196/195+256/255

4/3+16/15+36/35+64/63+100/99+144/143+196/195+256/255
参考一下.

4/3+16/15+36/35+64/63+100/99+144/143+196/195+256/255=(2×2)/(1×3)+(4×4)/(3×5)+...(14×14)/(13×15)+(16×16)/(15×17)=(2-2/3)+(8/3-8/5)+...+(98/13-98/15)+(128/15-128/17)=8×2-128/17=144/17

4/3+16/15+36/35+64/63+100/99+144/143+196/195+256/255
=1+1/3+1+1/15++1+1/35+1+1/63+1+1/99+1+1/143+1+1/195+1+1/255
=8+1/3+(1/3-1/5)×1/2+(1/5-1/7)1/2+(1/7-1/9)×1/2+(1/9-1/11)×1/2+(1/11-1/13)×1/2+...

全部展开

4/3+16/15+36/35+64/63+100/99+144/143+196/195+256/255
=1+1/3+1+1/15++1+1/35+1+1/63+1+1/99+1+1/143+1+1/195+1+1/255
=8+1/3+(1/3-1/5)×1/2+(1/5-1/7)1/2+(1/7-1/9)×1/2+(1/9-1/11)×1/2+(1/11-1/13)×1/2+(1/13-1/15)×1/2+(1/15-1/17)×1/2
=8+1/3+(1/3-1/5+1/5-1/7+1/7-1/9+1/9-1/11+1/11-1/13+1/13-1/15+1/15-1/17)×1/2
=8+1/3+(1/3-1/17)×1/2
=8+1/3+1/6-1/34
=8+34/102+17/102-3/102
=8+8/17
=8又8/17

收起

4/3+16/15+36/35+64/63+100/99 求数列4/3,16/15,36/35,64/63.的前n项和 3分之4+15分之16+35分之36+63分之64+.+195分之196答案 4/3+16/15+36/35+64/63+100/99+144/143=? 4/3+16/15+36/35+64/63+100/99怎么简算? 4/3+16/15+36/35+64/63+100/99+144/143+196/195+256/255 3分之4加15分之16加35分之36加63分之64等于多少 4/3+16/15+36/35+64/63+100/99+144/143+196/195+256/255= 1,5,7,17,31通项公式;3/4,15/16,35/36,63/64通项公式;1/2,1/6,1/12,1/20,1/30通项公式.怎么没人理我,求学霸指点 4/3+16/5+36/35+64/63+100/99+144/143 分数裂项,请给出详解!谢谢!计算:4/3+16/15+36/35+64/63+100/99+144/143+196/195+256/255=---------- 16除17分之2,9分之4乘16分之15除6分之5,64分之35除(8分之1+4分之3 用C语言编辑99乘法表图* 1 2 3 4 5 6 7 8 91 1 2 3 4 5 6 7 8 92 4 6 8 10 12 14 16 183 9 12 15 18 21 24 27 4 16 20 24 28 32 365 25 30 35 40 456 36 42 48 547 49 56 638 64 729 81 4/3+16/15+36/35+64/63+100/99+144/143+196/195+256/255怎么计算怎么计算4/3+16/15+36/35+64/63+100/99+144/143+196/195+256/255=?注意,分子总是比分母大“1”.有什么简便方法? c语言九九乘法表程序怎么写1 1 2 2 4 3 3 6 9 4 4 8 12 16 5 5 10 15 20 25 6 6 12 18 24 30 36 7 7 14 21 28 35 42 49 8 8 16 24 32 40 48 56 64 9 9 18 27 36 45 54 63 72 81 1 2 3 4 5 6 7 8 9 用C语言编辑99乘法表图* 1 2 3 4 5 6 7 8 9* 1 2 3 4 5 6 7 8 91 1 2 3 4 5 6 7 8 92 4 6 8 10 12 14 16 183 9 12 15 18 21 24 27 4 16 20 24 28 32 365 25 30 35 40 456 36 42 48 547 49 56 638 64 729 81 找规律4/3,-9/8,16/15,-25/24,36/35,第9个数_____ 3分之4+15分之16+35分之36+65分之66怎样简便计算