Prove that 2n > n3, ∀n ≥ 10

Question

Prove that 2ⁿ > n³, ∀n ≥ 10

15 Sep 2022

Answer :

Word Count : 226

To prove that 2n > n3 for all n ≥ 10, we can use mathematical induction.

First, let's check the base case, n = 10. We have:

2(10) = 20 (10)3 = 1000

Clearly, 20 > 1000, so the base case is true.

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