document.write( "Question 803100: Use inductive reasoning to find the next two terms in each sequence\r
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Algebra.Com's Answer #484188 by Edwin McCravy(20056)\"\" \"About 
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document.write( "360,180,120,90, x , y \r\n" );
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document.write( "\"180%2F360\" equals to \"1%2F2\"\r\n" );
document.write( "\"120%2F180\" equals to \"2%2F3\"\r\n" );
document.write( "\"90%2F120\" equals to \"3%2F4\"\r\n" );
document.write( "So inductively,\r\n" );
document.write( "\"x%2F90\" must equal to \"4%2F5\"\r\n" );
document.write( " \"x%2F90\"\"%22%22=%22%22\"\"4%2F5\"\r\n" );
document.write( "5x = 360\r\n" );
document.write( " x = 72\r\n" );
document.write( "Also inductively,\r\n" );
document.write( "\"y%2Fx\" or \"y%2F72\" must equal to \"5%2F6\"\r\n" );
document.write( "      \"y%2F72\"\"%22%22=%22%22\"\"5%2F6\"\r\n" );
document.write( "     6y = 360\r\n" );
document.write( "      y = 60\r\n" );
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document.write( "360,180,120,90, 72 , 60 .\r\n" );
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document.write( " 1,5,14,30,55, x , y \r\n" );
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document.write( "  5-1 equals to 4, which equals to 2².\r\n" );
document.write( " 14-5 equals to 9, which equals to 3².\r\n" );
document.write( "30-14 equals to 16, which equals to 4².\r\n" );
document.write( "55-30 equals to 25, which equals to 5².\r\n" );
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document.write( "So inductively,\r\n" );
document.write( "x-55 must equal to 6² or 36\r\n" );
document.write( "x-55 = 36\r\n" );
document.write( "   x = 91\r\n" );
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document.write( "Also inductively,\r\n" );
document.write( "y-x or y-91 must equal to 7² or 49\r\n" );
document.write( "       y-91 = 49\r\n" );
document.write( "          y = 140\r\n" );
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document.write( " 1,5,14,30,55, 91 , 140 .\r\n" );
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document.write( "Edwin
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