document.write( "Question 1049143: When a number n is divided by 7, the remainder is 2. What is the remainder when 2n+1 is divided by 7? \n" ); document.write( "

Algebra.Com's Answer #664710 by Edwin McCravy(20056) $\"\"$ $\"About$

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When a number n is divided by 7, the remainder is 2
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document.write( "So n is 2 more than some multiple of 7, so\r\n" );
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document.write( "n = 7k+2, for some positive integer k.\r\n" );
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\n" ); document.write( "What is the remainder when 2n+1 is divided by 7?
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document.write( "2n+1 = 2(7k+2)+1 = 14k+4+1 = 14k+5\r\n" );
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document.write( "When 14k+5 is divided by 7,\r\n" );
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document.write( "   2k+0\r\n" );
document.write( "7)14k+5  \r\n" );
document.write( "  14k\r\n" );
document.write( "      5\r\n" );
document.write( "      0\r\n" );
document.write( "      5\r\n" );
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document.write( "So the remainder is 5.\r\n" );
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document.write( "Edwin

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