Question

Show that exactly one of the numbers n, n+2 or n+4 is divisible by 3

Answer 1

hope it's helpful you

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Answer 2

Answer:

Its very obvious..

Step-by-step explanation:

M just explaining how because you have already got the mathematical answer..

Just imagine if the three numbers would be n, n+1 nd n+2.

It can be simply concluded that these three numbers are consecutive.

Therefore it's so obvious that one of them would definitely be divisible with 3.

Now what if we are at 3 to any of this number..?

Still we will have the same result.

ìf we add 3 to a number which is not divisible by 3 then the resulting number will also not be divisible by 3 and if we add 3 to a number which is divisible by 3 then the resulting number will also be divisible by 3.

So lets add 3 to "n+1"

We get n+4.

So now it can be concluded that any of these three number is is divisible by 3..