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Mathematics, 03.07.2019 18:10 cicimarie2018

Use induction to prove that 2? ? ? for any integer n> 0 . indicate type of induction used.
i proved the base case using n = 1, and for my induction hypothesis, i said that we assume n = k for 2^k > k, but i am stuck trying to get to n = k + 1.
so far i have:
2^k > k
2*2^k > 2*k
2^{k+1} > 2k

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Use induction to prove that 2? ? ? for any integer n> 0 . indicate type of induction used.

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