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Prove that 4n > n3 for every positive integer n

Chapter 4, Problem 10

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QUESTION:

Prove that 4n > n3 for every positive integer n.

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QUESTION:

Prove that 4n > n3 for every positive integer n.

ANSWER:

Step 1 of 3

Mathematical induction is the technique used to prove mathematical propositions. It involves two steps. The first step is the base step which proves that the statement is true for initial values. The second step is the inductive step which proves that if a statement is true for some value n, it is also true for the value n plus 1.

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