Question

Show that one and only one out of n,(n+1) and (n+2) s divisible by 3,where n is any positive integer.

Answer 1

Heyy Bro Here is your Answer

As we know,a number nn when divided by 3 can leave a remainder of 0,1,2

Now,if n leaves a remainder 2 ,then n+1 must be divisible by 3

If it leaves a remainder 1 ,then n+2k must be divisible by 3

And if it leaves no remainder,it is itself divisible by 3

only one among n,(n+1)n,(n+1) and (n+2)(n+2)could be divisible at a time.

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