document.write( "Question 1100227: In a geometric sequence where the 3rd term is 18 and the 8th term is 4,374, find the nth term. \n" ); document.write( "
Algebra.Com's Answer #714713 by ikleyn(52803)\"\" \"About 
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document.write( "\"a%5B3%5D\" = \"a%5B1%5D%2Ar%5E2\",    (1)\r\n" );
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document.write( "\"a%5B8%5D\" = \"a%5B1%5D%2Ar%5E7\".    (2)\r\n" );
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document.write( "\"a%5B8%5D%2Fa%5B3%5D\" = \"4374%2F18\" = 243 = \"%28a%5B1%5D%2Ar%5E7%29%2F%28a%5B1%5D%2Ar%5E2%29\" = \"r%5E5\"  ====>\r\n" );
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document.write( "r = \"root%285%2C243%29\" = 3.\r\n" );
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document.write( "Thus the common ratio is 3.\r\n" );
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document.write( "Then the first term  is  \"a%5B1%5D\" = \"a%5B3%5D%2Fr%5E2\" = \"18%2F3%5E2\" = 2.\r\n" );
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document.write( "Answer.  The first term  is 2.  The common ratio is  3.\r\n" );
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document.write( "         The n-th term is \"a%5Bn%5D\" = \"2%2A3%5E%28n-1%29\".\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "There is a bunch of lessons on geometric progressions in this site\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( "    - Solved problems on geometric progressions\r
\n" ); document.write( "\n" ); document.write( "    - Fresh, sweet and crispy problem on arithmetic and geometric progressions\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 together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-II
\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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