Question

Show that n,n+2, or n+4 is divisible by 3 without using Euclid's division lemma

Answer 1

Let n=1

So n+2=1+2=3

and n+4=1+4=4

∴ So n+2 is divisible by 3

Let n=2n+2=2+2=4n+4=2+4=6

So n+4 is divisible by 3.

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