document.write( "Question 323764: Please help me solve this: A certain arithmetic sequence has \"a%5B51%5D=23\"
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Algebra.Com's Answer #231724 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
Please help me solve this: A certain arithmetic sequence has \"a%5B51%5D=23\"
\n" ); document.write( "and \"a%5B101%5D=-127\". Find \"a%5B1%5D\", \"d\", \"a%5Bn%5D\", and \"a%5B78%5D\"
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document.write( "Use  \"a%5Bn%5D\"\"%22%22=%22%22\"\"a%5B1%5D%2B%28n-1%29d%29\"\r\n" );
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document.write( "Substitute \"n=51\", \"a%5B51%5D=23\"\r\n" );
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document.write( "\"a%5B51%5D\"\"%22%22=%22%22\"\"a%5B1%5D%2B%2851-1%29d%29\"\r\n" );
document.write( "\"23\"\"%22%22=%22%22\"\"a%5B1%5D%2B50d%29\"\r\n" );
document.write( "\"a%5B1%5D%2B50d%29\"\"%22%22=%22%22\"\"23\"\r\n" );
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document.write( "Substitute \"n=101\", \"a%5B101%5D=-127\"\r\n" );
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document.write( "\"a%5B101%5D\"\"%22%22=%22%22\"\"a%5B1%5D%2B%28101-1%29d%29\"\r\n" );
document.write( "\"-127\"\"%22%22=%22%22\"\"a%5B1%5D%2B100d%29\"\r\n" );
document.write( "\"a%5B1%5D%2B100d%29\"\"%22%22=%22%22\"\"-127\"\r\n" );
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document.write( "So we have this system of equations:\r\n" );
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document.write( "\"system%28a%5B1%5D%2B50d=23%2C+a%5B1%5D%2B100d=-127%29\"\r\n" );
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document.write( "Solve that system of equation by substitution or addition.\r\n" );
document.write( "If you don't know how post again asking how.  The\r\n" );
document.write( "solution is \"a%5B1%5D\"\"%22%22=%22%22\"\"173\", \"d\"\"\"=\"\"}}}\"-3\"\r\n" );
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document.write( "Therefore substituting those in\r\n" );
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document.write( "\"a%5Bn%5D\"\"%22%22=%22%22\"\"a%5B1%5D%2B%28n-1%29d%29\"\r\n" );
document.write( "\"a%5Bn%5D\"\"%22%22=%22%22\"\"173%2B%28n-1%29%28-3%29\"\r\n" );
document.write( "\"a%5Bn%5D\"\"%22%22=%22%22\"\"173%2B%28-3%29%28n-1%29%29\"\r\n" );
document.write( "\"a%5Bn%5D\"\"%22%22=%22%22\"\"173-3%28n-1%29%29\"\r\n" );
document.write( "\"a%5Bn%5D\"\"%22%22=%22%22\"\"173-3n%2B3%29%29\"\r\n" );
document.write( "\"a%5Bn%5D\"\"%22%22=%22%22\"\"176-3n%29\"\r\n" );
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document.write( "Substitute n=78\r\n" );
document.write( "\"a%5Bn%5D\"\"%22%22=%22%22\"\"176-3n%29\"\r\n" );
document.write( "\"a%5B78%5D\"\"%22%22=%22%22\"\"176-3%2878%29%29\"\r\n" );
document.write( "\"a%5B78%5D\"\"%22%22=%22%22\"\"176-234%29\"\r\n" );
document.write( "\"a%5B78%5D\"\"%22%22=%22%22\"\"-58%29\"\r\n" );
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document.write( "Edwin
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