document.write( "Question 1144973: When n is divided by 4, the remainder is 3. What is the remainder when (3n-1)) is divided by 4?
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Algebra.Com's Answer #766155 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "When n is divided by 4, the remainder is 3 (given).\r\n" );
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document.write( "Hence, when 3n is divided by 4, the remainder is 3*3 = 9, which is EQUIVALENT to the remainder 1 modulus 4.\r\n" );
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document.write( "It implies, that when (3n-1) is divided by 4, the remainder is 0.     ANSWER\r\n" );
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document.write( "Example.  Let n = 7,    giving the remainder 3 when divided by 4.\r\n" );
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document.write( "          3n = 21,      giving the remainder 1 when divided by 4.\r\n" );
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document.write( "          (3n-1) = 20,  giving the remainder 0 when divided by 4.\r\n" );
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