Prove each of the following:
[16 each]
a. If a is an integer, then one of the following integers, a,a+2, or a+4 is divisible by 3 .
3. Prove each of the following:
[16 each]
a. If a is an integer, then one of the following integers, a, a+2, or a+4 is divisible by 3.
b. For all integers n, n2 + 3n +5 is odd.