document.write( "Question 1177530: The three numbers n-2, n, n+3, are consecutive terms of a geometric progression. \r
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document.write( "i) Find n and the term after n+3 \n" );
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Algebra.Com's Answer #806578 by ikleyn(52802)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "From the condition, you have this equation\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " (n-2)*(n+3) = n^2.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " n^2 + n - 6 = n^2\r\n" ); document.write( "\r\n" ); document.write( " n = 6. \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, n = 6; the first three terms are 4, 6, 9, and the next term is\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "On geometric progressions, see the lessons\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \n" ); document.write( "\"Geometric progressions\".\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this textbook together with its description\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "into your archive and use when it is needed.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "...............\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Do not forget to post your \"THANKS\" to me for my teaching.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |