Lemma
MediumInequalities
#1664 · Algebra · Inequalities

Sum of Cubes Inequality

Show that n(n+1)^3 < 8(1^3 + 2^3 + 3^3 + ots + n^3).

~10 minProof · checked by AIInequalitiesMathematical InductionSums of Powers

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIX. Inequalities, Examples XIX.b, No. 2

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