Question

Show that one and only one out of n. n + 2 or n + 4 is divisible when
positive integer​

Answer 1

Answer:

Step-by-step explanation:

=3q + 2 is not divisible by 3. ⇒ n + 2 = 3q + 2 + 2 = 3q + 4 = 3(q + 1) + 1 is not divisible by 3. ⇒ n + 4 = 3q + 2 + 4 = 3q + 6 = 3(q + 2) is divisible by 3. Thus one and only one out of n , n+2, n+4 is divisible by 3

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