Real Numbers
+1
EXAMPLE 7 Show that one and only one out of n, (n+1) and (n +2) is divisible
by 3, where n is any positive integer.
SOLUTION On dividing n by 3, let q be the quotient and r be the remainder.
Then, n = 3q + r, where 0 <r<3
> n = 3q + r, where r = 0,1 or 2
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case lll same as case ll
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