document.write( "Question 1091771: Consider a geometric sequence whose third term is
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Algebra.Com's Answer #706245 by ikleyn(52794)\"\" \"About 
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document.write( "\"a%5B3%5D\" = 9 = \"a%2Ar%5E2\",\r\n" );
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document.write( "\"a%5B6%5D\" =\"-8%2F3\" = \"a%2Ar%5E5\",\r\n" );
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document.write( "==========>  \"a%5B6%5D%2Fa%5B3%5D\" = \"9%2F%28%28-8%2F3%29%29\" = \"%28a%2Ar%5E5%29%2F%28a%2Ar%5E2%29\" = \"r%5E3\"\r\n" );
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document.write( "==========>  \"r%5E3\" = \"-%289%2A3%29%2F8\" = \"-27%2F8\"\r\n" );
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document.write( "==========>  r = \"root%283%2C+%28-27%2F8%29%29\" = \"-3%2F2\"\r\n" );
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document.write( "==========>  9 = \"a%2Ar%5E2\" = \"a%2A%28-3%2F2%29%5E2\" = \"a%2A%289%2F4%29\"\r\n" );
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document.write( "==========>  a = \"9%2F%28%289%2F4%29%29\" = 4.\r\n" );
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document.write( "Answer.  a = \"a%5B1%5D\" = 4.\r\n" );
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\n" ); document.write( "On geometric progressions see the lessons\r
\n" ); document.write( "\n" ); document.write( "    - Geometric progressions\r
\n" ); document.write( "\n" ); document.write( "    - The proofs of the formulas for geometric progressions \r
\n" ); document.write( "\n" ); document.write( "    - Problems on geometric progressions\r
\n" ); document.write( "\n" ); document.write( "    - Word problems on geometric progressions\r
\n" ); document.write( "\n" ); document.write( "    - One characteristic property of geometric progressions\r
\n" ); document.write( "\n" ); document.write( "    - Solved problems on geometric progressions\r
\n" ); document.write( "\n" ); document.write( "    - Fresh, sweet and crispy problem on arithmetic and geometric progressions\r
\n" ); document.write( "\n" ); document.write( "    - Mathematical induction and geometric progressions\r
\n" ); document.write( "\n" ); document.write( "    - Mathematical induction for sequences other than arithmetic or geometric\r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Also,  you have this free of charge online textbook in ALGEBRA-II in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Geometric progressions\".\r
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\n" ); document.write( "\n" ); document.write( "Save the link to this textbook\r
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\n" ); document.write( "\n" ); document.write( "https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r
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