document.write( "Question 944299: i need help please can anyone tell me what is the next number in the series of following numbers 701495 , 841853 , 676836
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Algebra.Com's Answer #575846 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Assume a quadratic general formula:\r\n" );
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document.write( "\"a%5Bn%5D=An%5E2%2Bbn%2Bc\", \"a%5B1%5D=701495\", \"a%5B2%5D=841853\", \"a%5B3%5D=676836\"\r\n" );
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document.write( "Substitute n=1\r\n" );
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document.write( "\"a%5B1%5D=A%281%29%5E2%2BB%281%29%2BC\"\r\n" );
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document.write( "\"701495=A%2BB%2BC\"\r\n" );
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document.write( "Substitute n=2\r\n" );
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document.write( "\"a%5B2%5D=A%282%29%5E2%2BB%282%29%2BC\"\r\n" );
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document.write( "\"841853=4A%2B2B%2BC\"\r\n" );
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document.write( "Substitute n=3\r\n" );
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document.write( "\"a%5B3%5D=A%283%29%5E2%2BB%283%29%2BC\"\r\n" );
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document.write( "\"676836=9A%2B3B%2BC\"\r\n" );
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document.write( "Now we have this system of equations to solve:\r\n" );
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document.write( "\"system%28A%2BB%2BC=701495%2C4A%2B2B%2BC=841853%2C9A%2B3B%2BC=676836%29\"\r\n" );
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document.write( "Solve that and get A = -152687.75, B=598420.5, C=255762\r\n" );
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document.write( "So the formula is \"a%5Bn%5D=-152687.75n%5E2%2B598420.5n%2B255762\"\r\n" );
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document.write( "Substituting n=4 gives\r\n" );
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document.write( "\"a%5B4%5D=-152687.75%284%29%5E2%2B598420.5%284%29%2B255762\"\r\n" );
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document.write( "\"a%5B4%5D=206444\"\r\n" );
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document.write( "Edwin
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