document.write( "Question 974313: What is the first 50 terms of a sequence whose 53th and 55th term are both 158?\r
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Algebra.Com's Answer #596736 by Edwin McCravy(20059)\"\" \"About 
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What is the first 50 terms of a sequence whose 53th and 55th term are both 158?
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document.write( "If it is an arithmetic sequence then \r\n" );
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document.write( "\"a%5B53%5D%2Bd=a%5B54%5D\" and \"a%5B54%5D%2Bd=a%5B55%5D\"\r\n" );
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document.write( "\"158%2Bd=a%5B54%5D\" and \"a%5B54%5D%2Bd=158%7D%7D%0D%0A+++++++++++++++++++++%7B%7B%7Ba%5B54%5D=158-d\"\r\n" );
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document.write( "158+d = 158-d  since both equal a54\r\n" );
document.write( "   2d = 0\r\n" );
document.write( "    d = 0\r\n" );
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document.write( "Therefore all the terms are 158, that is, the sequence is\r\n" );
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document.write( "158, 158, 158, 158, 158, ...\r\n" );
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document.write( "If it is a geometric sequence then \r\n" );
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document.write( "\"a%5B53%5Dr=a%5B54%5D\" and \"a%5B54%5Dr=a%5B55%5D\"\r\n" );
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document.write( "\"158r=a%5B54%5D\" and \"a%5B54%5Dr=158\"\r\n" );
document.write( "                     \"a%5B54%5D=158%2Fr\"\r\n" );
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document.write( "\"158r+=+158%2Fr\"  since both equal a54\r\n" );
document.write( "\"158r%5E2=158\"\r\n" );
document.write( "\"r%5E2=1\"\r\n" );
document.write( "\"r=%22%22+%2B-+1\"\r\n" );
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document.write( "If r = 1, then all the terms are 158  \r\n" );
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document.write( "If r = -1, then the terms alternate between 158 and -158. With the\r\n" );
document.write( "odd numbered terms being 158 and the even numbered terms being -158\r\n" );
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document.write( "So either way the sequence is either:\r\n" );
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document.write( "158, 158, 158, 158, 158, ...\r\n" );
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document.write( "or\r\n" );
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document.write( "158, -158, 158, -158, 158, -158, ...\r\n" );
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document.write( "Edwin
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