(n+1)(n+2)…(n+n)
表示从(n+1)依次递增到(n+n)
n=k+1时,应该是从
(k+1+1)依次递增到[(k+1)+(k+1)]
就是:(k+1+1)(k+1+2)……[(k+1)+(k+1)]
也就是:(k+1+1)(k+1+2)……(2k+2)
怎么可能少得了这一项:2k+1=[(k+1)+k]呢?