Question

show that one and only out of n,n+1,n+2 is divisible by 3 where n is any positive integer
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Answer 1

Answer:

On dividing n by 3, let q be the quotient and r be the remainder . Case I If n = 3q then n is clearly divisible by 3. Case II If n= ( 3q +1) then ( n+2) = (3q +3) = 3(q +1) , which is clearly divisible by 3. In this case, ( n+2) is divisble 3.

Step-by-step explanation:

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