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Algebra 2Superchallenge

Algebra 2 · Superchallenge problem

Evaluate

∑k=1261k23+k(k+1)3+(k+1)23.\sum_{k=1}^{26} \dfrac{1}{\sqrt[3]{k^2} + \sqrt[3]{k(k + 1)} + \sqrt[3]{(k + 1)^2}}.
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