Recent content by snapgilmore

Can you elaborate on how its enough to show (2k^3)/(k+1)^3 >1 ? I thought you needed to end up at k >=10?

Homework Statement Prove that 2^n > n^3 for every integer n >= 10 Homework Equations a) Prove for 10, b) assume for k c) inductive step for k+1 The Attempt at a Solution a) 2^10 = 1024 10^3 = 1000 1024>1000 b)Assume 2^k > k^3 c) 2^(k+1) > (k+1)^3 (2)(2^k) > (k+1)^3 (2^k) > ((k+1)^3)/2...