document.write( "Question 725335: Find the value of x so that x+1, 3x-2, and 4x+5 form an arithmetic sequence \n" ); document.write( "

Algebra.Com's Answer #444103 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "1st term = x+1, \r\n" );
document.write( "2nd term = 3x-2, \r\n" );
document.write( "and \r\n" );
document.write( "3rd term = 4x+5\r\n" );
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document.write( "In order to form an arithmetic sequence, this must be true:\r\n" );
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document.write( "      (3x-2)-(x+1) = (4x+5)-(3x-2)\r\n" );
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document.write( "You solve that and get x=10.\r\n" );
document.write( "So\r\n" );
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document.write( "1st term = x+1 = 10+1 = 11 \r\n" );
document.write( "2nd term = 3x-2 = 3(10)-2 = 30-2 = 28 \r\n" );
document.write( "and \r\n" );
document.write( "3rd term = 4x+5 = 4(10)+5 = 40+5 = 45\r\n" );
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document.write( "So the series is 11, 28, and 45.\r\n" );
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document.write( "Checking in\r\n" );
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document.write( "         \r\n" );
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document.write( "            28 - 11 = 45 - 28\r\n" );
document.write( "                 17 = 17.\r\n" );
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document.write( "So the answer is correct with a common difference of d=17.\r\n" );
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document.write( "Edwin

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