SOLUTION: Prove using induction that: for every non negative integer n, 2^n>n

SOLUTION: Prove using induction that: for every non negative integer n, 2^n>n

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Question 1022311: Prove using induction that: for every non negative integer n, 2^n>n
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
For n = 1: , which is true
Assume for n = k>1 that .
Show that the hypothesis is true also for n = k + 1, or that .
But , and the statement is proved.

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