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7

Part of PEN I Problems

Problems(1)

I 7

Source:

5/25/2007
Prove that for all positive integers nn, ⌊n3+n+13⌋=⌊8n+33⌋.\lfloor \sqrt[3]{n}+\sqrt[3]{n+1}\rfloor =\lfloor \sqrt[3]{8n+3}\rfloor.
floor functioninequalities