show that one and only one out of n, [n+2] or [n+4] is divisible by 3 where n∈N
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Solution=
Case 1 = Let n = 3q
n + 2 = 3q + 2
and n + 4 = 3q +4
Here, only n is a multiple of 3
.........,etc and many more cases can be made that proves your statement..
Case 1 = Let n = 3q
n + 2 = 3q + 2
and n + 4 = 3q +4
Here, only n is a multiple of 3
.........,etc and many more cases can be made that proves your statement..
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