证明:C(0,n)+1/2C(1,n)+1/3C(2,n)+……+1/kC(k-1,n)+……+1/(n+1)C(n,n)=(2^n+1)/(n+1)-1/(n+1)
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/29 13:56:07
![证明:C(0,n)+1/2C(1,n)+1/3C(2,n)+……+1/kC(k-1,n)+……+1/(n+1)C(n,n)=(2^n+1)/(n+1)-1/(n+1)](/uploads/image/z/6128294-14-4.jpg?t=%E8%AF%81%E6%98%8E%EF%BC%9AC%EF%BC%880%2Cn%29%2B1%2F2C%EF%BC%881%2Cn%EF%BC%89%2B1%2F3C%EF%BC%882%2Cn%EF%BC%89%2B%E2%80%A6%E2%80%A6%2B1%2FkC%EF%BC%88k-1%2Cn%EF%BC%89%2B%E2%80%A6%E2%80%A6%2B1%2F%28n%2B1%29C%EF%BC%88n%2Cn%29%3D%282%5En%2B1%EF%BC%89%2F%28n%2B1%29-1%2F%28n%2B1%29)
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