document.write( "Question 1177530: The three numbers n-2, n, n+3, are consecutive terms of a geometric progression. \r
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Algebra.Com's Answer #806578 by ikleyn(52802)\"\" \"About 
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document.write( "From the condition, you have this equation\r\n" );
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document.write( "    (n-2)*(n+3) = n^2.\r\n" );
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document.write( "Simplify\r\n" );
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document.write( "    n^2 + n - 6 = n^2\r\n" );
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document.write( "          n     = 6.     \r\n" );
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document.write( "So, n = 6;  the first three terms are  4, 6, 9,  and the next term is  \"9%2A%289%2F6%29\" = \"9%2A%283%2F2%29\" = \"27%2F2\" = \"13\" \"1%2F2\" = 13.5.     ANSWER\r\n" );
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\n" ); document.write( "\n" ); document.write( "On geometric progressions, see the lessons\r
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\n" ); document.write( "\n" ); document.write( "On geometric progressions,  see introductory 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( "in this site,  and  ESPECIALLY  the lesson marked  (*)  in the list.\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
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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( "Do not forget to post your  \"THANKS\"  to me for my teaching.\r
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