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Question: Simga (Could you do more clearly ?)

Question:Simga (Could you do more clearly ?)

yangtheary 280 Maple
summation
August 26 2013
0

Let n be any positive Integer :\displaystyle \sum_{k=0}^{n-1}(\sqrt{ak^3+bk^2+ck+1}-\sqrt{ak^3+bk^2+ck})^{\frac{1}{3} }=\sqrt{n}. Find a,b,c?
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