Question

Even is the set of all 2n where n = 1 2 3 4 . . . .

a.using this recursive definition of the set even, how many different ways can we prove that 14 is in even?

b.what is the smallest number of steps re­quired to prove that 100 is even?

c.describe a good method for showing that 2n is in even.

Answer 1

14 is the multiple of 2 all even number are multiple of 2.