document.write( "Question 1045441: How do I find the general term of the arithmetic
\n" ); document.write( "sequence a19= 150, d=9, without the first term? \n" ); document.write( "
Algebra.Com's Answer #660871 by Edwin McCravy(20056)\"\" \"About 
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How do I find the general term of the arithmetic
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document.write( "Solve for the first term:\r\n" );
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document.write( "\"a%5Bn%5D=a%5B1%5D%2B%28n-1%29d\"\r\n" );
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document.write( "Substitute n=19, d=9\r\n" );
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document.write( "\"a%5B19%5D=a%5B1%5D%2B%2819-1%299\"\r\n" );
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document.write( "\"a%5B19%5D=a%5B1%5D%2B%2818%299\"\r\n" );
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document.write( "\"a%5B19%5D=a%5B1%5D%2B162\"\r\n" );
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document.write( "Substitute 150 for a9\r\n" );
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document.write( "\"150=a%5B1%5D%2B162\"\r\n" );
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document.write( "Subtract 162 from both sides\r\n" );
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document.write( "\"-12=a%5B1%5D\"\r\n" );
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document.write( "So the nth term is\r\n" );
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document.write( "\"a%5Bn%5D=a%5B1%5D%2B%28n-1%29d\"\r\n" );
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document.write( "Substitute a1=-12 and d=9\r\n" );
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document.write( "\"a%5Bn%5D=-12%2B%28n-1%299\"\r\n" );
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document.write( "\"a%5Bn%5D=-12%2B9%28n-1%29\"\r\n" );
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document.write( "\"a%5Bn%5D=-12%2B9n-9\"\r\n" );
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document.write( "\"a%5Bn%5D=9n-21\"  <-- the general term\r\n" );
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document.write( "Edwin
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