1\1*2*3+1/2*3*4+•••+98*99*100
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/07/11 11:35:57
1\1*2*3+1/2*3*4+•••+98*99*100
![1\1*2*3+1/2*3*4+•••+98*99*100](/uploads/image/z/1690740-36-0.jpg?t=1%5C1%2A2%2A3%2B1%2F2%2A3%2A4%2B%26%238226%3B%26%238226%3B%26%238226%3B%2B98%2A99%2A100)
1/1*2*3+1/2*3*4+•••+98*99*100
=(1/2)*(1/1*2-1/2*3+1/2*3-1/3*4+.+1/98*99-1/99*100)
=(1/2)*(1/2-1/9900)
=(1/2)*4949/9900
=4949/19800
=(1/2)*(1/1*2-1/2*3+1/2*3-1/3*4+.+1/98*99-1/99*100)
=(1/2)*(1/2-1/9900)
=(1/2)*4949/9900
=4949/19800