document.write( "Question 618978: Show that one and only one out of n, n+2 and n+4 is divisible by 3, where ‘n’ is any positive integer. \n" ); document.write( "

Algebra.Com's Answer #389263 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi,
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document.write( "Show that one and only one out of  n, n+2 and n+4 is divisible by 3, where ‘n’ is any positive integer.
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document.write( "By the Division Algorithm, n is either of the form 3k, 3k + 1, or 3k + 2.
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document.write( "3k: ,3k+2,3k+4
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document.write( "3k+1: 3k+1, , 3k+5
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document.write( "3k+2: 3k+2, +3k+4,
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document.write( "In either of the allowed forms, there is only one of n, n+2 and n+4 divisible by three \n" );
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