I have a mathematical induction problem I need some assistance on.
Here's the problem:
Prove by induction on n that, n^3 (is less than or equal to) 2^n for n (greater than or equal to) 10 a positive integer.
So far, I can only get part of the problem (if I am correct to that point?) then I get stuck. Any help would be greatly appreciated. Thanks in advance!
CaptainBlack: It is n to the 3rd power less than or equal to 2 to the power of n for n greater than or equal to 10. I think you might of read it wrong.
I know the first step is to substiute k so you get k^3 <= 2^K
Then step two substitute K + 1 to get (k + 1)^3 <= 2^(k + 1)
From here I have trouble.