Question

prove that one of every three consecutive positive integer is divisible by 3
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Answer 1

Answer:

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Answer 2

Answer:

Here let us take some three consecutive integers (4, 5,6), (7, 8,9),........

we have

In the first three integers, only 6 is divisible by 3.

Again in the 2nd...only 9 is divisible by 3.

......etc... etc

Hence one of every three consecutive positive integers. is divisible by 3.

Hence proved