1³+2³+3³+4³+...+99³+100³=求过程急需1³+2³+3³+4³+...+99³+100³=
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/18 02:37:10
![1³+2³+3³+4³+...+99³+100³=求过程急需1³+2³+3³+4³+...+99³+100³=](/uploads/image/z/5915592-0-2.jpg?t=1%26%23179%3B%2B2%26%23179%3B%2B3%26%23179%3B%2B4%26%23179%3B%2B...%2B99%26%23179%3B%2B100%26%23179%3B%3D%E6%B1%82%E8%BF%87%E7%A8%8B%E6%80%A5%E9%9C%801%26%23179%3B%2B2%26%23179%3B%2B3%26%23179%3B%2B4%26%23179%3B%2B...%2B99%26%23179%3B%2B100%26%23179%3B%3D)
1³+2³+3³+4³+...+99³+100³=求过程急需1³+2³+3³+4³+...+99³+100³=
1³+2³+3³+4³+...+99³+100³=求过程急需
1³+2³+3³+4³+...+99³+100³=
1³+2³+3³+4³+...+99³+100³=求过程急需1³+2³+3³+4³+...+99³+100³=
这个直接套用立方和公式
1³+2³+3³+4³+.+n³=[n(n+1)/2]²
∴ 1³+2³+3³+4³+...+99³+100³
=(100*101/2)²
=5050²
=25502500