Any help with the following proof would be appreciated,
Determine for which natural numbers k^2 - 3k >= 4 and prove your answer.
How would we use induction here? Thanks in advance for all the help!
Prove that:
(i) The inequality is true for .
(ii) If it is true for integer, then it is true for .
Fernando Revilla
cannot be 3 or less.
Then we have that the inequality ought to be true for
P(k)
P(k+1)
Try to show that "if" P(k) is true, "then" P(k+1) will also be true
(establish the inductive "cause and effect")
Proof
If P(k) is true, then the above is
with
and so P(k+1) is true also.