document.write( "Question 1054498: Find the value of the following summation:
\"sum%28%282n-5%29%2Cn=15%2C47%29\"\"%22%22=%22%22\" \n" );
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Algebra.Com's Answer #669695 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Find the value of the following summation:
\"sum%28%282n-5%29%2Cn=15%2C47%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "We write out the first few terms, and the last term:\r\n" );
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document.write( "[2(15)-5] + [2(16)-5)] + [2(17)-5] + [2(18)-5] + ... + [2(47)-5}\r\n" );
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document.write( "[30-5] + [32-5] + [34-5] + [36-5] + ... + [94-5]\r\n" );
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document.write( "25 + 27 + 29 + 31 + ... + 89\r\n" );
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document.write( "We see this is an arithmetic series, with a1 = 25,\r\n" );
document.write( "d = 2, and an = 89\r\n" );
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document.write( "We first use the nth term formula to find n:\r\n" );
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document.write( "\"a%5Bn%5D\"\"%22%22=%22%22\"\"a%5B1%5D%2B%28n-1%29d\"\r\n" );
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document.write( "\"89\"\"%22%22=%22%22\"\"25%2B%28n-1%292\"\r\n" );
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document.write( "\"89\"\"%22%22=%22%22\"\"25%2B2%28n-1%29\"\r\n" );
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document.write( "\"89\"\"%22%22=%22%22\"\"25%2B2n-2\"\r\n" );
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document.write( "\"89\"\"%22%22=%22%22\"\"2n%2B23\"\r\n" );
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document.write( "\"66\"\"%22%22=%22%22\"\"2n\"\r\n" );
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document.write( "\"33\"\"%22%22=%22%22\"\"n\"\r\n" );
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document.write( "Then we use the sum formula:\r\n" );
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document.write( "\"S%5Bn%5D\"\"%22%22=%22%22\"\"expr%28n%2F2%29%28a%5B1%5D%2Ba%5Bn%5D%29\"\r\n" );
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document.write( "\"S%5B33%5D\"\"%22%22=%22%22\"\"expr%2833%2F2%29%2825%2B89%29\"\r\n" );
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document.write( "\"S%5B33%5D\"\"%22%22=%22%22\"\"1881\"\r\n" );
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document.write( "Answer: 1881\r\n" );
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document.write( "Edwin
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