document.write( "Question 1059603: Express the sum using summation notation. 15+13+11+...+(-43) \n" ); document.write( "
Algebra.Com's Answer #674648 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Too many tutors are like the above. They show you nothing but what \r\n" );
document.write( "the back of the book does.  They just give you the answer with no\r\n" );
document.write( "explanation.\r\n" );
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\n" ); document.write( "Express the sum using summation notation. 15+13+11+...+(-43)
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document.write( "The sequence 15, 13, 11, ..., -43 is an arithmetic sequence\r\n" );
document.write( "with \"a%5B1%5D=15\" and since 13-15 = -2, 11-13=-2, the common\r\n" );
document.write( "difference \"d=-2\".\r\n" );
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document.write( "Therefore, the nth term is given by:\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( "\"a%5Bn%5D\"\"%22%22=%22%22\"\"15%2B%28n-1%29%28-2%29\"\r\n" );
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document.write( "\"a%5Bn%5D\"\"%22%22=%22%22\"\"15-2%28n-1%29\"\r\n" );
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document.write( "\"a%5Bn%5D\"\"%22%22=%22%22\"\"15-2n%2B2\"\r\n" );
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document.write( "\"a%5Bn%5D\"\"%22%22=%22%22\"\"17-2n\"\r\n" );
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document.write( "Next we must find which term of the sequence is -43,\r\n" );
document.write( "so we substitute -43 for an\r\n" );
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document.write( "\"-43\"\"%22%22=%22%22\"\"17-2n\"\r\n" );
document.write( "\"-60\"\"%22%22=%22%22\"\"-2n\"\r\n" );
document.write( "\"30\"\"%22%22=%22%22\"\"n\"\r\n" );
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document.write( "So the sum is\r\n" );
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document.write( "\"sum%28%2817-2n%29%2Cn=1%2C30%29\"\r\n" );
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document.write( "Edwin

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