n(n+1)+（n-1)n+……+1*2=(1/6)n(n+1)(n+2)的推导过程,
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n(n+1)+（n-1)n+……+1*2=(1/6)n(n+1)(n+2)的推导过程,n(n+1)+（n-1)n+……+1*2=(1/6)n(n+1)(n+2)的推导过程,n(n+1)+（n-1)n+
n(n+1)+（n-1)n+……+1*2=(1/6)n(n+1)(n+2)的推导过程,
n(n+1)+（n-1)n+……+1*2=(1/6)n(n+1)(n+2)的推导过程,
n(n+1)+（n-1)n+……+1*2=(1/6)n(n+1)(n+2)的推导过程,
题目有误,正确答案应该是n(n+1)(n+2)/3(可以代n=1验证)
∑k(k+1)
=∑(k^2+k)
=∑[(k+1)^3-k^3-1]/3
=1/3∑[(k+1)^3-k^3]-∑1/3
=1/3[(2^3-1)+(3^3-2^3)+..+(n+1)^3-n^3]-n/3
=[(n+1)^3-1-n]/3
=n(n+1)(n+2)/3
2^n/n*(n+1)
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