1/1*2*3+1/2*3*4+1/3*4*5+1/4*5*6……+1/31*32*33
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/24 11:49:09
![1/1*2*3+1/2*3*4+1/3*4*5+1/4*5*6……+1/31*32*33](/uploads/image/z/5450904-0-4.jpg?t=1%2F1%2A2%2A3%2B1%2F2%2A3%2A4%2B1%2F3%2A4%2A5%2B1%2F4%2A5%2A6%E2%80%A6%E2%80%A6%2B1%2F31%2A32%2A33)
1/1*2*3+1/2*3*4+1/3*4*5+1/4*5*6……+1/31*32*33
1/1*2*3+1/2*3*4+1/3*4*5+1/4*5*6……+1/31*32*33
1/1*2*3+1/2*3*4+1/3*4*5+1/4*5*6……+1/31*32*33
原式=½[1/﹙1×2﹚-1/﹙32×33﹚]=527/2112