document.write( "Question 1207587: The sum
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Algebra.Com's Answer #845669 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "I finally figured out that the above, which was gobbledygook to me, \r\n" );
document.write( "means this:\r\n" );
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\n" ); document.write( "The sum
\n" ); document.write( "\"6%281%2A1%2B2%2A2%2B%22%22%2A%22%22%2A%22%22%2A%22%22%2Bn%2An%29\"
\n" ); document.write( "is equal to a polynomial f(n) for all \"n%3E=1\".
\n" ); document.write( "Write f(n) as a polynomial with terms in descending order of n.
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document.write( "It is well-known that\r\n" );
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document.write( "\"1%5E2%2B2%5E2%2B%22%22%2A%22%22%2A%22%22%2A%22%22%2Bn%5E2\"\"%22%22=%22%22\"\"%28n%28n%2B1%29%282n%2B1%29%29%2F6\"\r\n" );
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document.write( "so\r\n" );
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document.write( "\"6%281%2A1%2B2%2A2%2B%22%22%2A%22%22%2A%22%22%2A%22%22%2Bn%2An%29\"\"%22%22=%22%22\"\"6%281%5E2%2B2%5E2%2B%22%22%2A%22%22%2A%22%22%2A%22%22%2Bn%5E2%29\"\"%22%22=%22%22\"\"6%2Aexpr%28%28n%28n%2B1%29%282n%2B1%29%29%2F6%29\"\"%22%22=%22%22\"\r\n" );
document.write( "\"cross%286%29%2Aexpr%28%28n%28n%2B1%29%282n%2B1%29%29%2Fcross%286%29%29\"\"%22%22=%22%22\"\"n%28n%2B1%29%282n%2B1%29\"\"%22%22=%22%22\"\"n%282n%5E2%2B3n%2B1%29\"\"%22%22=%22%22\"\"2n%5E3%2B3n%5E2%2Bn\"\r\n" );
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document.write( "So\r\n" );
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document.write( "\"%22f%28n%29%22\"\"%22%22=%22%22\"\"2n%5E3%2B3n%5E2%2Bn\"\r\n" );
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document.write( "Edwin
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