document.write( "Question 1186566: The first term of a geometric progession is 75 and the third term is 27.Find the two possible values for the fourth term. \n" ); document.write( "
Algebra.Com's Answer #817481 by ikleyn(52908)\"\" \"About 
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\n" ); document.write( "The first term of a geometric progession is 75 and the third term is 27.
\n" ); document.write( "Find the two possible values for the fourth term.
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document.write( "Take the ratio  \"a%5B3%5D\"  to  \"a%5B1%5D\"  and get the square of the common ratio\r\n" );
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document.write( "    \"a%5B3%5D%2Fa%5B1%5D\" = \"r%5E2\" = \"27%2F75\" = \"9%2F25\".\r\n" );
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document.write( "THEREFORE,  for the common ratio \"r\", you have two values  r = \"sqrt%289%2F25%29\" = +/- \"3%2F5\".\r\n" );
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document.write( "It gives two possible values for the fourth term\r\n" );
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document.write( "    \"a%5B4%5D\" = \"a%5B3%5D%2Ar\" = \"27%2A%283%2F5%29\" = \"81%2F5\",  if  r = \"3%2F5\",\r\n" );
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document.write( "and\r\n" );
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document.write( "    \"a%5B4%5D\" = \"a%5B3%5D%2Ar\" = \"27%2A%28-3%2F5%29\" = \"-81%2F5\",  if  r = \"-3%2F5\".\r\n" );
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