document.write( "Question 855053: Find t sub n if t sub 3 is equal to 15 and t sub 8 is equal to 50 \n" ); document.write( "
Algebra.Com's Answer #515707 by Edwin McCravy(20056)\"\" \"About 
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Find t sub n if t sub 3 is equal to 15 and t sub 8 is equal to 50
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document.write( "\"t%5B3%5D=15\", \"t%5B8%5D=50\"\r\n" );
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document.write( "If the sequence is arithmetic, we use the formula:\r\n" );
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document.write( "\"t%5Bn%5D\"\"%22%22=%22%22\"\"t%5B1%5D\"\"%22%22%2B%22%22\"\"%28n-1%29d\"\r\n" );
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document.write( "three times. Once for n=3. once for n=8, and once using\r\n" );
document.write( "the values for t1 and d.\r\n" );
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document.write( "--------------------------\r\n" );
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document.write( "Substitute n = 3\r\n" );
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document.write( "\"t%5B3%5D\"\"%22%22=%22%22\"\"t%5B1%5D\"\"%22%22%2B%22%22\"\"%283-1%29d\"\r\n" );
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document.write( "\"t%5B3%5D\"\"%22%22=%22%22\"\"t%5B1%5D\"\"%22%22%2B%22%22\"\"%282%29d\"\r\n" );
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document.write( "Substitute 15 for t3\r\n" );
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document.write( "\"15\"\"%22%22=%22%22\"\"t%5B1%5D\"\"%22%22%2B%22%22\"\"2d\"\r\n" );
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document.write( "-------------------------\r\n" );
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document.write( "Substitute n = 8\r\n" );
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document.write( "\"t%5B8%5D\"\"%22%22=%22%22\"\"t%5B1%5D\"\"%22%22%2B%22%22\"\"%288-1%29d\"\r\n" );
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document.write( "\"t%5B8%5D\"\"%22%22=%22%22\"\"t%5B1%5D\"\"%22%22%2B%22%22\"\"%287%29d\"\r\n" );
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document.write( "Substitute 50 for t8\r\n" );
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document.write( "\"50\"\"%22%22=%22%22\"\"t%5B1%5D\"\"%22%22%2B%22%22\"\"7d\"\r\n" );
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document.write( "So you have this system of equations to solve:\r\n" );
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document.write( "\"system%2815=t%5B1%5D%2B2d%2C+50=t%5B1%5D%2B7d%29\"\r\n" );
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document.write( "Solve that system by substitution or elimination and\r\n" );
document.write( "get\r\n" );
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document.write( "\"t%5B1%5D=1\" and \"d=7\"\r\n" );
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document.write( "---------------------------------\r\n" );
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document.write( "Therefore \r\n" );
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document.write( "\"t%5Bn%5D\"\"%22%22=%22%22\"\"t%5B1%5D\"\"%22%22%2B%22%22\"\"%28n-1%29d\"\r\n" );
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document.write( "becomes\r\n" );
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document.write( "\"t%5Bn%5D\"\"%22%22=%22%22\"\"1\"\"%22%22%2B%22%22\"\"%28n-1%297\"\r\n" );
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document.write( "\"t%5Bn%5D\"\"%22%22=%22%22\"\"1%2B7%28n-1%29\"\r\n" );
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document.write( "\"t%5Bn%5D\"\"%22%22=%22%22\"\"1%2B7n-7\"\r\n" );
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document.write( "\"t%5Bn%5D\"\"%22%22=%22%22\"\"7n-6\"\r\n" );
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document.write( "Edwin
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