. . . . .
. . . . .
. . . . .
. . . . .
Use the above and the fact that, if you subtract something smaller from 2, you'll end up with something larger, to prove the final inequality.
Hi, I started this problem, got stuck, and need a hint to continue.
Prove that
Base case:
so the inequality holds for .
Induction Hypothesis:
Assume that
, where is an arbitrary integer .
Prove that
Here is what I got:
Any suggestion on how to continue?
Thanks in advanced.