$2.$ Using the second recursive definition of the set EVEN, how many different

ways can we prove that $14$ is in EVEN?

$3.$ Using the second recursive definition of EVEN, what is the smallest

number of steps required to prove that $100$ is EVEN? Describe a good

method for showing that $2$n is in EVEN.

$4.$ Show that the following is another recursive definition of the set EVEN.

Rule $12$ and $4$ are in EVEN.

Rule $2$ If x is in EVEN, then so is x $+4.$