求满足不等式C(n,1)+2C(n,2)+……+nC(n,n)
问题描述:
求满足不等式C(n,1)+2C(n,2)+……+nC(n,n)
答
因为2^n=C(n,0)+C(n,1)+2C(n,2)+……+nC(n,n)
所以C(n,1)+2C(n,2)+……+nC(n,n)=2^n-C(n,0)=2^n-1使2^n-1
答
我们先来求和,令S=C(n,1)+2C(n,2)+……+nC(n,n)
首先,
0