



 
John, Suppose we know k^{2} < 2^{k} for some k ≥ 5, then (k+1)^{2} = k^{2}(1+1/k)^{2} < 2^{k}(1+1/5)^{2} =2^{k}(36/25) < 2^{k+1}. Penny  


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