1×1+2×2+3×3+---+n×n=n(n+1)(2n+1)\/6
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1×1+2×2+3×3+---+n×n=n(n+1)(2n+1)\/61×1+2×2+3×3+---+n×n=n(n+1)(2n+1)\/61×1+2×2+3×3+---+n×n=n(n+1)(2n+
1×1+2×2+3×3+---+n×n=n(n+1)(2n+1)\/6
1×1+2×2+3×3+---+n×n=n(n+1)(2n+1)\/6
1×1+2×2+3×3+---+n×n=n(n+1)(2n+1)\/6
2+3×3+---+n×n=n(n+1)(2
2+3×3+---+n×n=n(n+1)(2
证明不等式:(1/n)^n+(2/n)^n+(3/n)^n+.+(n/n)^n
当n为正偶数,求证n/(n-1)+n(n-2)/(n-1)(n-3)+...+n(n-2).2/(n-1)(n-3)...1=n
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数列a(n)=n (n+1)(n+2)(n+3),求S(n)
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[3n(n+1)+n(n+1)(2n+1)]/6+n(n+2)化简
[3n(n+1)+n(n+1)(2n+1)]/6+n(n+2)化简
化简n分之n-1+n分之n-2+n分之n-3+.+n分之1
化简n分之n-1+n分之n-2+n分之n-3+.+n分之1
1*N+2*(N-1)+3*(N-2)+...+N*1=1/6N(N+1)(N+2)
用数学归纳法证明:(n+1)(n+2)(n+3)+.+(n+n)=(2^n)*1*3*.(2n-1)
证明:1+2C(n,1)+4C(n,2)+...+2^nC(n,n)=3^n .(n∈N+)
e^(1/n)+e^(2/n)+e^(3/n)+…+e^(n-1/n)+e^(n/n)=?
化简(n+1)(n+2)(n+3)
设f(n)=1/n+1+1/n+2+1/n+3+……+1/3n(n∈N+),则f(n+1)-f(n)=?