Question

prove by induction that 3^n>n² for n>2
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Answer 1

Step-by-step explanation:

Prove 3n>n2 by induction

The induction hypothesis is when n=k so 3k>k2. So for the induction step we have n=k+1 so 3k+1>(k+1)2 which is equal to 3⋅3k>k2+2k+1.