Question

Prove that only one of the numbers n - 1, n+ 1 or n + 2 is divisible by 3, where n is any positive integer. Explain. 4marks​

Answer 1

Answer:

Simply draw a number line for +ve numbers ,pick any 3 consecutive number , because n, n+1 ,n+2 will be consecutively definitely.

Find the remainder of these , the reminder will be (0,1,2),(1,2,0),(2,1,0) either of them so as you can see exactly one of these number will be divisible by 3. One extra point here is this will also be true even for negative integers.

Step-by-step explanation:

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