document.write( "Question 1039332: Hey! So I was finishing up homework when yet another problem had me crying. After hours of trying to do it on my own, I decided to ask for help. Okay, so If 5x+2, 2x^2 + 8, 24x - x^2 form an arithmetic sequence, find x and the 12th term. I'm stumped trying to solve this. I literally have no idea. I tried subtracting the first term from the second to get the common difference, but hey, when I tried subtracting the third term from the second one, the \"common\" differences were not so common. Maybe the given is wrong? I don't know... \n" ); document.write( "
Algebra.Com's Answer #654213 by ikleyn(52785)\"\" \"About 
You can put this solution on YOUR website!
If 5x+2, 2x^2 + 8, 24x - x^2 form an arithmetic sequence, find x and the 12th term.
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document.write( "If three terms form an arithmetic progression, \"a%5B1%5D\", \"a%5B2%5D\", and \"a%5B3%5D\", then\r\n" );
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document.write( "\"a%5B3%5D+-+a%5B2%5D\" = \"a%5B2%5D-a%5B1%5D\".\r\n" );
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document.write( "Apply it to your three terms. You will get an equation \r\n" );
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document.write( "\"24x+-+x%5E2\" - \"%282x%5E2+%2B8%29%29\" = \"%282x%5E2+%2B8%29%29\" - \"%285x%2B2%29\".\r\n" );
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document.write( "Now simplify and solve this quadratic equation for x.\r\n" );
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document.write( "Then restore the tree terms as the numbers, find \"a1%5D\" and the common difference.\r\n" );
document.write( "Then find \"a%5B12%5D\".\r\n" );
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document.write( "Good luck!\r\n" );
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