document.write( "Question 1167377: The first three terms of the finite sequence 1, 1/x, 2, y form an arithmetic sequence, while the last three terms form a geometric sequence find the values of x and y. \n" ); document.write( "
Algebra.Com's Answer #791994 by ikleyn(52781)\"\" \"About 
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document.write( "Then the term  \"1%2Fx\"  is the arithmetic mean of its neighbors\r\n" );
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document.write( "    \"1%2Fx\" = \"%281%2B2%29%2F2\" = \"3%2F2\",   so  x = \"2%2F3\".\r\n" );
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document.write( "Hence, the terms  \"3%2F2\", 2 and y form a geometric progression.\r\n" );
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document.write( "Then the ratio of this progression is  \"2%2F%28%283%2F2%29%29\" = \"4%2F3\"  and  y = \"2%2A%284%2F3%29\" = \"8%2F3\".\r\n" );
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document.write( "ANSWER.  x= \"2%2F3\",  y= \"8%2F3\".\r\n" );
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