Question: 2) (This is a CS4110 question) EVEN is the set of all 2n where n = 1 2 3 4 . . . . a)

2) (This is a CS4110 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.

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