Questions about complete induction.

We all know that complete induction is (P(0),P(1),P(2)...P(n)=>P(n+1))=>P(n).
Is possible if i use (P(1),P(3),P(5),...P(n+1)=>P(n+3))=>P(n), but i said before the induction steps that n is a odd positive integer.